Alexandru Dimca

Documents

Publications

	On the Bounded Negativity Conjecture and singular plane curves Alexandru Dimca , Brian Harbourne , Gabriel Sticlaru Moscow Mathematical Journal, inPress Article dans une revue hal-03531128v1
	Unexpected curves in $\mathbb{P}^2$, line arrangements, and minimal degree of Jacobian relations Alexandru Dimca Journal of Commutative Algebra, inPress Article dans une revue hal-03531314v1
	On conic-line arrangements with nodes, tacnodes, and ordinary triple points Alexandru Dimca , Piotr Pokora Journal of Algebraic Combinatorics, inPress, ⟨10.1007/s10801-022-01116-3⟩ Article dans une revue hal-03531120v1
	Waring rank of binary forms, harmonic cross-ratio and golden ratio Alexandru Dimca , Gabriel Sticlaru Tohoku mathematical journal, inPress Article dans une revue hal-03531092v1
	The Hessian polynomial and the Jacobian ideal of a reduced hypersurface in $\mathbb{P}^n$ Laurent Busé , Alexandru Dimca , Hal Schenck , Gabriel Sticlaru Advances in Mathematics, 2021, 392, ⟨10.1016/j.aim.2021.108035⟩ Article dans une revue hal-02337441v1
	Freeness and invariants of rational plane curves Laurent Busé , Alexandru Dimca , Gabriel Sticlaru Mathematics of Computation, 2020, 89, pp.1525--1546. ⟨10.1090/mcom/3495⟩ Article dans une revue hal-01767751v2
	On complex supersolvable line arrangements Alexandru Dimca , Takuro Abe Journal of Algebra, 2020, 552, pp.38--51. ⟨10.1016/j.jalgebra.2020.02.007⟩ Article dans une revue hal-02514557v1
	Waring Rank of Symmetric Tensors, and Singularities of Some Projective Hypersurfaces Alexandru Dimca , Gabriel Sticlaru Mediterranean Journal of Mathematics, 2020, 17 (6), ⟨10.1007/s00009-020-01609-0⟩ Article dans une revue hal-03531057v1
	On the jumping lines of bundles of logarithmic vector fields along plane curves Alexandru Dimca , Gabriel Sticlaru Publicacions Matem\`atiques, 2020, 64 (2), pp.513-542. ⟨10.5565/PUBLMAT6422006⟩ Article dans une revue hal-01951978v1
	Jacobian syzygies, Fitting ideals, and plane curves with maximal global Tjurina numbers Alexandru Dimca , Gabriel Sticlaru Collectanea Mathematica, 2020 Article dans une revue hal-03531082v1
	On the minimal value of global Tjurina numbers for line arrangements Alexandru Dimca European Journal of Mathematics, 2020, ⟨10.1007/s40879-019-00373-0⟩ Article dans une revue hal-01951976v1
	Deformations of plane curves and Jacobian syzygies Alexandru Dimca , Gabriel Sticlaru Mathematical News / Mathematische Nachrichten, 2020, 293, pp.475--490. ⟨10.1002/mana.201900137⟩ Article dans une revue hal-01951973v1
	Plane curves with three syzygies, minimal Tjurina curves, and nearly cuspidal curves Alexandru Dimca , Gabriel Sticlaru Geometriae Dedicata, 2020 Article dans une revue hal-03531073v1
	Computing Milnor fiber monodromy for some projective hypersurfaces Alexandru Dimca , Gabriel Sticlaru Contemporary mathematics, 2020, A panorama of singularities, 742, pp.31--52. ⟨10.1090/conm/742/14937⟩ Article dans une revue hal-01518711v1
	Freeness for 13 lines arrangements is combinatorial Alexandru Dimca , Denis Ibadula , Anca Macinic Discrete Mathematics, 2019, 342, pp.2445--2453. ⟨10.1016/j.disc.2019.05.016⟩ Article dans une revue hal-01761541v1
	Saturation of Jacobian ideals: Some applications to nearly free curves, line arrangements and rational cuspidal plane curves Alexandru Dimca , Gabriel Sticlaru Journal of Pure and Applied Algebra, In press, Journal of Pure and Applied Algebra, ⟨10.1016/j.jpaa.2019.03.009⟩ Article dans une revue hal-01761548v1
	On rational cuspidal plane curves, and the local cohomology of Jacobian rings Alexandru Dimca Commentarii Mathematici Helvetici, 2019, 94, pp.689--700. ⟨10.4171/CMH/471⟩ Article dans une revue hal-01616860v1
	Line and rational curve arrangements, and Walther's inequality Alexandru Dimca , Gabriel Sticlaru Rendiconti Lincei. Matematica e Applicazioni, 2019, 30, pp.615--633. ⟨10.4171/RLM/863⟩ Article dans une revue hal-01761528v1
	On the Milnor monodromy of the irreducible complex reflection arrangements Alexandru Dimca Journal of the Institute of Mathematics of Jussieu, 2019, 18, pp.1215--1231. ⟨10.1017/S147474801700038X⟩ Article dans une revue hal-01518725v1
	Computing the monodromy and pole order filtration on Milnor fiber cohomology of plane curves Alexandru Dimca , Gabriel Sticlaru Journal of Symbolic Computation, 2019, 91, pp.98-115. ⟨10.1016/j.jsc.2018.06.015⟩ Article dans une revue hal-01518716v1
	On the freeness of rational cuspidal plane curves Alexandru Dimca , Gabriel Sticlaru Moscow Mathematical Journal, 2018, 18, pp.659--666. ⟨10.17323/1609-4514-2018-18-4-659-666⟩ Article dans une revue hal-01761536v1
	Free and nearly free curves from conic pencils Alexandru Dimca J. Korean Math. Soc., 2018, 55, pp.705-717. ⟨10.4134/JKMS.j170425⟩ Article dans une revue hal-01518709v1
	On the Milnor monodromy of the exceptional reflection arrangement of type G31 Alexandru Dimca , Gabriel Sticlaru Documenta Mathematica, 2018, 23, pp.1-14. ⟨10.25537/dm.2018v23.1-14⟩ Article dans une revue hal-01518724v1
	On 1-forms on isolated complete intersection curve singularities Alexandru Dimca , Gert-Martin Greuel Journal of Singularities, 2018, 18, pp.114-118. ⟨10.5427/jsing.2018.18h⟩ Article dans une revue hal-01616861v1
	A vanishing result for the first twisted cohomology of affine varieties and applications to line arrangements Alexandru Dimca , Pauline Bailet , Masahiko Yoshinaga Manuscripta mathematica, 2018, 157, pp.497-511. ⟨10.1007/s00229-018-0999-y⟩ Article dans une revue hal-01616857v1
	Free and nearly free curves vs. rational cuspidal plane curves Alexandru Dimca , Gabriel Sticlaru Publications of the Research Institute for Mathematical Sciences, 2018, 54, pp.163-179. ⟨10.4171/PRIMS/54-1-6⟩ Article dans une revue hal-01195953v1
	Free and nearly free surfaces in P^3 Alexandru Dimca , Gabriel Sticlaru Asian J. Math., 2018, 22, pp.787-810. ⟨10.4310/AJM.2018.v22.n5.a1⟩ Article dans une revue hal-01195955v1
	On supersolvable and nearly supersolvable line arrangements Alexandru Dimca , Gabriel Sticlaru Journal of Algebraic Combinatorics, 2018, ⟨10.1007/s10801-018-0859-6⟩ Article dans une revue hal-01761545v1
	On the splitting type of bundles of logarithmic vector fields along plane curves Alexandru Dimca , Takuro Abe International Journal of Mathematics, 2018, 29, pp.1850055. ⟨10.1142/S0129167X18500556⟩ Article dans une revue hal-01616859v1
	Curve arrangements, pencils, and Jacobian syzygies Alexandru Dimca Michigan Mathematical Journal, 2017, 66 (2), pp.347-365. ⟨10.1307/mmj/1490639821⟩ Article dans une revue hal-01264926v1
	Freeness versus maximal global Tjurina number for plane curves Alexandru Dimca Math. Proc. Cambridge Phil. Soc., 2017, 163, pp.161-172. ⟨10.1017/S0305004116000803⟩ Article dans une revue hal-01195960v1
	On the syzygies and Hodge theory of nodal hypersurfaces Alexandru Dimca Annali dell'Universita di Ferrara, 2017, 63, pp.87-101. ⟨10.1007/s11565-017-0278-y⟩ Article dans une revue hal-00940157v1
	Jacobian syzygies, stable reflexive sheaves, and Torelli properties for projective hypersurfaces with isolated singularities Alexandru Dimca Algebraic Geometry, 2017, 4, pp.290-303. ⟨10.14231/AG-2017-016⟩ Article dans une revue hal-01141819v1
	A computational approach to Milnor fiber cohomology Alexandru Dimca , Gabriel Sticlaru Forum Mathematicum, 2017, 29, pp.831-846. ⟨10.1515/forum-2016-0044⟩ Article dans une revue hal-01518728v1
	Mixed multiplicities, Hilbert polynomials and homaloidal surfaces Alexandru Dimca , Gabriel Sticlaru Math. Nachrichten, 2017, 290, pp.785-793. ⟨10.1002/mana.201600205⟩ Article dans une revue hal-01195958v1
	On the exponents of free and nearly free projective plane curves Alexandru Dimca , Gabriel Sticlaru Revista Matematica Complutense, 2017, 30, pp.259-268. ⟨10.1007/s13163-017-0228-3⟩ Article dans une revue hal-01264925v1
	Free divisors and rational cuspidal plane curves Alexandru Dimca , Gabriel Sticlaru Mathematical Research Letters, 2017, 24 (4), pp.1023-1042. ⟨10.4310/MRL.2017.v24.n4.a5⟩ Article dans une revue hal-01141808v1
	The Poincaré-Deligne polynomial of Milnor fibers of triple point line arrangements is combinatorially determined Alexandru Dimca Canadian Mathematical Bulletin, 2016, 59, pp.279-286. ⟨10.4153/CMB-2016-003-1⟩ Article dans une revue hal-01141817v1
	Hilbert series and Lefschetz properties of dimension one almost complete intersections Alexandru Dimca , Dorin Popescu Communications in Algebra, 2016, 44, pp.4467-4482. ⟨10.1080/00927872.2015.1087535⟩ Article dans une revue hal-01141824v1
	Freeness versus maximal degree of the singular subscheme for surfaces in P^3 Alexandru Dimca Geometriae Dedicata, 2016, 183, pp.101-112. ⟨10.1007/s10711-016-0148-2⟩ Article dans une revue hal-01195961v1
	Pencil type line arrangements of low degree: classification and monodromy Alexandru Dimca , Denis Ibadula , Daniela Anca Macinic Annali della Scuola Normale Superiore di Pisa, 2016, XV, pp.249-267. ⟨10.2422/2036-2145.201306_003⟩ Article dans une revue hal-00940167v1
	Syzygies of Jacobian ideals and weighted homogeneous singularities Alexandru Dimca , Gabriel Sticlaru Journal of Symbolic Computation, 2016, 74, pp.627-634. ⟨10.1016/j.jsc.2015.11.003⟩ Article dans une revue hal-01141823v1
	On the fundamental groups of normal varieties Donu Arapura , Alexandru Dimca , Richard Hain Communications in Contemporary Mathematics, 2016, 18 (4), 17 p., DOI:10.1142/S0219199715500650. ⟨10.1142/S0219199715500650⟩ Article dans une revue hal-01141811v1
	Algebraic models, Alexander-type invariants, and Green-Lazarsfeld sets Alexandru Dimca , Stefan Papadima , Alexander I. Suciu Bull. Math. Soc. Sci. Math. Roumanie, 2015, 58 ((106)), pp.257-269 Article dans une revue hal-01141821v1
	On the topology of some quasi-projective surfaces Alexandru Dimca Revue roumaine de mathématiques pures et appliquées, 2015, 60, pp.321-330 Article dans une revue hal-01196016v1
	Koszul complexes and pole order filtrations Alexandru Dimca , Gabriel Sticlaru Proceedings of the Edinburgh Mathematical Society, 2015, 58 (2), pp.333-354. ⟨10.1017/S0013091514000182⟩ Article dans une revue hal-00940196v1
	On the fundamental groups of plane curve complements Alexandru Dimca , Enrique Artal Bartolo Annali dell'Universita di Ferrara, 2015, 61, pp.255-262 Article dans une revue hal-01196017v1
	Hessian ideals of a homogeneous polynomial and generalized Tjurina algebras Alexandru Dimca , Gabriel Sticlaru Documenta Mathematica, 2015, 20, pp.689-705 Article dans une revue hal-01141814v1
	Nonabelian cohomology jump loci from an analytic viewpoint Alexandru Dimca , Stefan Papadima Communications in Contemporary Mathematics, 2014, 16, pp.1-47. ⟨10.1142/S0219199713500259⟩ Article dans une revue hal-00940186v1
	The abelianization of the Johnson kernel Alexandru Dimca , Richard Hain , Stefan Papadima Journal of the European Mathematical Society, 2014, 16, pp.805-822. ⟨10.4171/JEMS/447⟩ Article dans une revue hal-00940205v1
	Syzygies and logarithmic vector fields along plane curves Alexandru Dimca , Edoardo Sernesi Journal de l'École polytechnique — Mathématiques, 2014, 1, pp.247-267. ⟨10.5802/jep.10⟩ Article dans une revue hal-00940150v1
	Some remarks on limit mixed Hodge structure and spectrum Alexandru Dimca , Morihiko Saito An. Stiint. Univ. Ovidius Constanta, Ser. Mat., 2014, 22 (2), pp.69-78 Article dans une revue hal-00940173v1
	Number of Jordan blocks of the maximal size for local monodromies Alexandru Dimca , Morihiko Saito Compositio Mathematica, 2014, 150, pp.344-368. ⟨10.1112/S0010437X13007513⟩ Article dans une revue hal-00940183v1
	Weight filtration of the limit mixed Hodge structure at infinity for tame polynomials Alexandru Dimca , Morihiko Saito Mathematische Zeitschrift, 2013, 275, pp.293-306. ⟨10.1007/s00209-012-1135-4⟩ Article dans une revue hal-00940194v1
	Syzygies of Jacobian ideals and defects of linear systems Alexandru Dimca Bull. Math. Soc. Sci. Math. Roumanie, 2013, 56(104), pp.191-203 Article dans une revue hal-00940177v1
	Arithmetic group symmetry and finiteness properties of Torelli groups Alexandru Dimca , Stefan Papadima Annals of Mathematics, 2013, 177, pp.395-423 Article dans une revue hal-00940210v1
	Tate properties, polynomial-count varieties, and monodromy of hyperplane arrangements Alexandru Dimca Nagoya Mathematical Journal, 2012, 206, pp.75-97. ⟨10.1215/00277630-1548502⟩ Article dans une revue hal-00940207v1
	On the syzygies and Alexander polynomials of nodal hypersurfaces Alexandru Dimca , Gabriel Sticlaru Mathematical News / Mathematische Nachrichten, 2012, 285 (17-18), pp.2120-2128. ⟨10.1002/mana.201100326⟩ Article dans une revue hal-00940191v1
	Chebyshev curves, free resolutions and rational curve arrangements Alexandru Dimca , Gabriel Sticlaru Mathematical Proceedings of the Cambridge Philosophical Society, 2012, 153, pp.385-397. ⟨10.1017/S0305004112000138⟩ Article dans une revue hal-00940200v1
	Vanishing cycle sheaves of one-parameter smoothings and quasi-semistable degenerations Alexandru Dimca , Morihiko Saito Journal of Algebraic Geometry, 2012, 21, pp.247-253 Article dans une revue hal-00940380v1
	Finite Galois covers, cohomology jump loci, formality properties, and multinets Alexandru Dimca , Stefan Papadima Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2011, 10, pp.253-268 Article dans une revue hal-00940215v1
	Spectrum and multiplier ideals of arbitrary subvarieties Alexandru Dimca , Philippe Maisonobe , Morihiko Saito Annales de l'Institut Fourier, 2011, 61 (4), pp.1633-1653. ⟨10.5802/aif.2654⟩ Article dans une revue hal-01289063v1
	Quasi-Kähler groups, 3-manifold groups, and formality Alexandru Dimca , Stefan Papadima , Alexander I. Suciu Mathematische Zeitschrift, 2011, 268 (1), pp.169-186. ⟨10.1007/s00209-010-0664-y⟩ Article dans une revue hal-00940382v1
	Characteristic varieties and logarithmic differential 1-forms Alexandru Dimca Compositio Mathematica, 2010, 146, pp.129-144. ⟨10.1112/S0010437X09004461⟩ Article dans une revue hal-00940384v1
	Topology and geometry of cohomology jump loci Alexandru Dimca , Stefan Papadima , Alexander I. Suciu Duke Mathematical Journal, 2009, 148 (3), pp.405-457 Article dans une revue hal-00940229v1
	The Milnor fibre of the Pfaffian and the Hilbert scheme of four points on C^3 Alexandru Dimca , Balazs Szendroi Mathematical Research Letters, 2009, 16, pp.1037-1055 Article dans une revue hal-00940225v1

	Polynomial interpolation in higher dimensions Alexandru Dimca Université Côte d'Azur Complex Systems, M. Argentina; S. Barland; P. Reynaud-Bouret; F. Cauneau; K. Guillouzouic; U. Kuhl; T. Passot; F. Planchon, Jan 2018, Nice, France. pp.1-7 Communication dans un congrès hal-02003283v1
	Cohomology of the Milnor fiber of a hyperplane arrangement with symmetry Alexandru Dimca , Gus Lehrer Configuration Spaces, Geometry, Combinatorics and Topology, 2015, Cortona, Italy. pp.319-360, ⟨10.1007/978-3-319-31580-5_10⟩ Communication dans un congrès hal-00940162v1
	Monodromy of triple point line arrangements Alexandru Dimca Singularities in Geometry and Topology , 2011, Kagoshima, Japan Communication dans un congrès hal-00940204v1
	Hodge-Deligne equivariant polynomials and monodromy of hyperplane arrangements Alexandru Dimca , Gus Lehrer Configuration Spaces, Geometry, Combinatorics and Topology, 2011, Pisa, Italy. pp.231-253 Communication dans un congrès hal-00940208v1
	First Milnor cohomology of hyperplane arrangements Nero Budur , Alexandru Dimca , Morihiko Saito Topology of Algebraic Varieties, 2009, Bilbao, Spain. pp.279-292 Communication dans un congrès hal-00940221v1

	Hyperplane Arrangements: An Introduction Alexandru Dimca Springer, 2017, 978-3-319-56220-9 Ouvrages hal-01518752v1

	On plane conic arrangements with nodes and tacnodes Alexandru Dimca , Marek Janasz , Piotr Pokora 2022 Pré-publication, Document de travail hal-03531108v1
	Ramblings on the freeness of affine hypersurfaces Alexandru Dimca , Gabriel Sticlaru 2022 Pré-publication, Document de travail hal-03531104v1
	Addition-deletion results for the minimal degree of a Jacobian syzygy of a union of two curves Alexandru Dimca , G. Ilardi , G. Sticlaru 2022 Pré-publication, Document de travail hal-03531136v1
	Waring ranks of sextic binary forms via geometric invariant theory Alexandru Dimca , Gabriel Sticlaru 2022 Pré-publication, Document de travail hal-03531096v1
	Plane curves with three syzygies, plus-one generated curves, and nearly cuspidal curves Alexandru Dimca , Gabriel Sticlaru 2018 Pré-publication, Document de travail hal-01951971v1
	Numerical invariants and moduli spaces for line arrangements Alexandru Dimca , Denis Ibadula , Daniela Anca Macinic 2016 Pré-publication, Document de travail hal-01518720v1
	Generalization of theorems of Griffiths and Steenbrink to hypersurfaces with ordinary double points Alexandru Dimca , Morihiko Saito 2015 Pré-publication, Document de travail hal-01141825v1
	Graded Koszul cohomology and spectrum of certain homogeneous polynomials Alexandru Dimca , Morihiko Saito 2013 Pré-publication, Document de travail hal-00940169v1

Alexandru Dimca

Publications

On the Bounded Negativity Conjecture and singular plane curves

Unexpected curves in $\mathbb{P}^2$, line arrangements, and minimal degree of Jacobian relations

On conic-line arrangements with nodes, tacnodes, and ordinary triple points

Waring rank of binary forms, harmonic cross-ratio and golden ratio

The Hessian polynomial and the Jacobian ideal of a reduced hypersurface in $\mathbb{P}^n$

Freeness and invariants of rational plane curves

On complex supersolvable line arrangements

Waring Rank of Symmetric Tensors, and Singularities of Some Projective Hypersurfaces

On the jumping lines of bundles of logarithmic vector fields along plane curves

Jacobian syzygies, Fitting ideals, and plane curves with maximal global Tjurina numbers

On the minimal value of global Tjurina numbers for line arrangements

Deformations of plane curves and Jacobian syzygies

Plane curves with three syzygies, minimal Tjurina curves, and nearly cuspidal curves

Computing Milnor fiber monodromy for some projective hypersurfaces

Freeness for 13 lines arrangements is combinatorial

Saturation of Jacobian ideals: Some applications to nearly free curves, line arrangements and rational cuspidal plane curves

On rational cuspidal plane curves, and the local cohomology of Jacobian rings

Line and rational curve arrangements, and Walther's inequality

On the Milnor monodromy of the irreducible complex reflection arrangements

Computing the monodromy and pole order filtration on Milnor fiber cohomology of plane curves

On the freeness of rational cuspidal plane curves

Free and nearly free curves from conic pencils

On the Milnor monodromy of the exceptional reflection arrangement of type G31

On 1-forms on isolated complete intersection curve singularities

A vanishing result for the first twisted cohomology of affine varieties and applications to line arrangements

Free and nearly free curves vs. rational cuspidal plane curves

Free and nearly free surfaces in P^3

On supersolvable and nearly supersolvable line arrangements

On the splitting type of bundles of logarithmic vector fields along plane curves

Curve arrangements, pencils, and Jacobian syzygies

Freeness versus maximal global Tjurina number for plane curves

On the syzygies and Hodge theory of nodal hypersurfaces

Jacobian syzygies, stable reflexive sheaves, and Torelli properties for projective hypersurfaces with isolated singularities

A computational approach to Milnor fiber cohomology

Mixed multiplicities, Hilbert polynomials and homaloidal surfaces

On the exponents of free and nearly free projective plane curves

Free divisors and rational cuspidal plane curves

The Poincaré-Deligne polynomial of Milnor fibers of triple point line arrangements is combinatorially determined

Hilbert series and Lefschetz properties of dimension one almost complete intersections

Freeness versus maximal degree of the singular subscheme for surfaces in P^3

Pencil type line arrangements of low degree: classification and monodromy

Syzygies of Jacobian ideals and weighted homogeneous singularities

On the fundamental groups of normal varieties

Algebraic models, Alexander-type invariants, and Green-Lazarsfeld sets

On the topology of some quasi-projective surfaces

Koszul complexes and pole order filtrations

On the fundamental groups of plane curve complements

Hessian ideals of a homogeneous polynomial and generalized Tjurina algebras

Nonabelian cohomology jump loci from an analytic viewpoint

The abelianization of the Johnson kernel

Syzygies and logarithmic vector fields along plane curves

Some remarks on limit mixed Hodge structure and spectrum

Number of Jordan blocks of the maximal size for local monodromies

Weight filtration of the limit mixed Hodge structure at infinity for tame polynomials

Syzygies of Jacobian ideals and defects of linear systems

Arithmetic group symmetry and finiteness properties of Torelli groups

Tate properties, polynomial-count varieties, and monodromy of hyperplane arrangements

On the syzygies and Alexander polynomials of nodal hypersurfaces

Chebyshev curves, free resolutions and rational curve arrangements

Vanishing cycle sheaves of one-parameter smoothings and quasi-semistable degenerations

Finite Galois covers, cohomology jump loci, formality properties, and multinets

Spectrum and multiplier ideals of arbitrary subvarieties

Quasi-Kähler groups, 3-manifold groups, and formality

Characteristic varieties and logarithmic differential 1-forms

Topology and geometry of cohomology jump loci

The Milnor fibre of the Pfaffian and the Hilbert scheme of four points on C^3

Polynomial interpolation in higher dimensions

Cohomology of the Milnor fiber of a hyperplane arrangement with symmetry

Monodromy of triple point line arrangements

Hodge-Deligne equivariant polynomials and monodromy of hyperplane arrangements

First Milnor cohomology of hyperplane arrangements

Hyperplane Arrangements: An Introduction

On plane conic arrangements with nodes and tacnodes

Ramblings on the freeness of affine hypersurfaces

Addition-deletion results for the minimal degree of a Jacobian syzygy of a union of two curves

Waring ranks of sextic binary forms via geometric invariant theory

Plane curves with three syzygies, plus-one generated curves, and nearly cuspidal curves

Numerical invariants and moduli spaces for line arrangements