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Key polynomials for simple extensions of valued fields

Francisco Javier Herrera Govantes , Wael Mahboub , Miguel Angel Olalla Acosta , Mark Spivakovsky
Journal of Singularities, 2022, 25, pp.197-267. ⟨10.5427/jsing.2022.25k⟩
Article dans une revue hal-01887698v2

Categorical Semantics and Non-Free Categories

Antoine El Khoury , Sergei Soloviev , Laurent Mehats , Mark Spivakovsky
Workshop Structure and Deduction (SD 2009) @ European Summer School in Language and Informatics (ESSLI 2009), Jul 2009, Bordeaux, France
Communication dans un congrès hal-00727408v1

On varieties of closed categories and dependency of diagrams of canonical maps

Antoine El Khoury , Sergei Soloviev , Laurent Mehats , Mark Spivakovsky
Proofs, categories and computations, College publications, pp.217-230, 2010, Tributes, 978-1848900127
Chapitre d'ouvrage hal-00727338v1

Key polynomials and pseudo-convergent sequences

Josnei Novacoski , Mark Spivakovsky
Journal of Algebra, 2018, 495, pp.199-219
Article dans une revue hal-01978954v1

On stable and fixed polynomials

J Novacoski , M. Spivakovsky
2022
Pré-publication, Document de travail hal-03755056v1

Reduction of singularities of three-dimensional line foliations

F. Cano , Claude Roche , Mark Spivakovsky
RACSAM. Real Academia de Ciencias. Serie A, Matemáticas - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2014, 108 (1), p. 221-258. ⟨10.1007/s13398-013-0117-7⟩
Article dans une revue hal-00999737v1

On the local uniformization problem

Josnei Novacoski , Mark Spivakovsky
Banach Center Publications, 2016, 108, pp.231-238
Article dans une revue hal-01979212v1

A categorical interpretation of logical derivations and some of its applications in algebra

Antoine El Khoury , Sergei Soloviev , Laurent Mehats , Mark Spivakovsky
Journal of Mathematical Sciences, 2010, 168 (3), pp.491-503. ⟨10.1007/s10958-010-0002-2⟩
Article dans une revue hal-00727359v1
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On Categories of Semimodules over Semirings and Varieties of Closed Categories

Antoine El Khoury , Sergei Soloviev , Laurent Mehats , Mark Spivakovsky
Polynomial Computer Algebra 2009, 2009, Saint Petersburg, Russia. pp.89--95
Communication dans un congrès hal-00727399v1

Extending a valuation centred in a local domain to the formal completion

F. J. Herrera Govantes , M. A. Olalla Acosta , Mark Spivakovsky , Bernard Teissier
Proceedings of the London Mathematical Society, 2012, 105 (3), pp.571-621. ⟨10.1112/plms/pds002⟩
Article dans une revue hal-00934600v1
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A note on the Casas-Alvero Conjecture

Daniel Schaub , Mark Spivakovsky
2023
Pré-publication, Document de travail hal-04341794v1

Proof of the Fukui conjecture via resolution of singularities and related methods

Shigeru Arimoto , Mark Spivakovsky , Eiji Yoshida , Keith F. Taylor , Paul G. Mezey
Journal of Mathematical Chemistry, 2011, 49 (8), p. 1700-1712. ⟨10.1007/s10910-011-9852-1⟩
Article dans une revue istex hal-00999750v1
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Approximate roots of a valuation and the Pierce-Birkhoff Conjecture

François Lucas , James Madden , Daniel Schaub , Mark Spivakovsky
Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2012, 21 (2), pp.259-342. ⟨10.5802/afst.1336⟩
Article dans une revue ujm-00461549v3

Reduction of local uniformization to the rank one case

Josnei Novacoski , Mark Spivakovsky
VALUATION THEORY IN INTERACTION, European Mathematical Society Publishing House, pp.404-431, 2014
Chapitre d'ouvrage hal-01979192v1

Generalization of a result of Hickel, Ito and Izumi about a Diophantine inequality

Charef Beddani , Mark Spivakovsky
Journal of Pure and Applied Algebra, 2015, 219 (5), pp.1711-1719
Article dans une revue hal-01979198v1

Repeat space theory applied to carbon nanotubes and matrix art

Shigeru Arimoto , Massoud Amini , Joseph E. Leblanc , Mark Spivakovsky , Keith F. Taylor , et al.
Bulletin of Tsuyama national College of technology, 2012, 54, p. 31-38
Article dans une revue hal-00999740v1

Introduccion a la conjetura de Pierce-Birkhoff y el espectro real

F. Lucas , J. J. Madden , D. Schaub , Mark Spivakovsky
Revista del Seminario iberoamericano de matematicas, 2010, 4 (1), pp.13-36
Article dans une revue hal-00727315v1

The nash problem of arcs and the rational double point E6

Camille Plénat , Mark Spivakovsky
Kodai Mathematical Journal, 2012, 35 (1), pp.173-213
Article dans une revue hal-00727326v1

Local uniformization in characteristic zero. Archimedean case.

Felipe Cano , Claude Roche , Mark Spivakovsky
Revista del Seminario iberoamericano de matematicas, 2008, 3 (5-6), pp.49-64
Article dans une revue hal-00727379v1

On connectedness of sets in the real spectra of polynomial rings

F. Lucas , J. J. Madden , D. Schaub , Mark Spivakovsky
Manuscripta mathematica, 2009, 128 (4), pp.505-547. ⟨10.1007/s00229-008-0244-1⟩
Article dans une revue hal-00627318v1

Présentation [Équations différentielles et singularités. En l'honneur de J. M. Aroca]

Felipe Cano , Frank Loray , Juan José Morales-Ruiz , Paulo Sad , Mark Spivakovsky
F. Cano, F. Loray, J.J. Morales-Ruiz, P. Sad, M. Spivakowsky. Société Mathématique de France, pp.vii-ix, 2009, Astérisque n° 323, 978-2-85629-263-1
Ouvrages hal-00712995v1

On the strong separation conjecture

François Lucas, , Daniel Schaub , Mark Spivakovsky
RACSAM. Real Academia de Ciencias. Serie A, Matemáticas - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2019
Article dans une revue hal-02394461v1

Proof of the Fukui conjecture via resolution of singularities and related methods. IV.

Shigeru Arimoto , Mark Spivakovsky , Keith F. Taylor , Paul G. Mezey
Journal of Mathematical Chemistry, 2010, 48 (3), pp.776-790. ⟨10.1007/s10910-010-9709-z⟩
Article dans une revue istex hal-00629180v1
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The analogue of Izumi's Theorem for Abhyankar valuations

Guillaume Rond , Mark Spivakovsky
Journal of the London Mathematical Society, 2014, 90 (3), pp.725-740
Article dans une revue hal-00980846v1
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On the structure of the graded algebra associated to a valuation

M.S. Barnabé , J. Novacoski , Mark Spivakovsky
Journal of Algebra, 2020, 560, pp.667-679. ⟨10.1016/j.jalgebra.2020.06.003⟩
Article dans une revue hal-03096236v1
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On common extensions of valued fields

Wael Mahboub , Amira Mansour , Mark Spivakovsky
Journal of Algebra, 2021, 584, pp.1-18. ⟨10.1016/j.jalgebra.2021.04.027⟩
Article dans une revue hal-03097729v1

Équations différentielles et singularités. En l'honneur de J. M. Aroca

Felipe Cano , Frank Loray , Juan José Morales-Ruiz , Paulo Sad , Mark Spivakovsky
Société Mathématique de France, pp.xxvii-487, 2009, Astérisque n° 323, 978-2-85629-263-1
Ouvrages hal-00604539v1
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The Nash problem of arcs and its solution

Camille Plenat , Mark Spivakovsky
2013, p 17-24
Autre publication scientifique hal-00966623v1

Extending valuations to formal completions

Francisco Javier Herrera Govantes , Miguel Angel Olalla Acosta , Mark Spivakovsky , Bernard Teissier
VALUATION THEORY IN INTERACTION, European Mathematical Society Publishing House, pp.252-265, 2014
Chapitre d'ouvrage hal-01979178v1
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Resolution of Singularities: an Introduction.

Mark Spivakovsky
Handbook of Geometry and Topology of Singularities I, Springer International Publishing, pp.183-242, 2020, 978-3-030-53060-0. ⟨10.1007/978-3-030-53061-7⟩
Chapitre d'ouvrage hal-02413995v1