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Author ID: spivakovsky.mark Recent zbMATH articles by "Spivakovsky, Mark"
Published as: Spivakovsky, Mark; Spivakovsky, M.
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Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 406 times in 296 Documents Cited by Year
Valuations in function fields of surfaces. Zbl 0716.13003
Spivakovsky, Mark
102
1990
Sandwiched singularities and desingularization of surfaces by normalized Nash transformations. Zbl 0719.14005
Spivakovsky, Mark
58
1990
A new proof of D. Popescu’s theorem on smoothing of ring homomorphisms. Zbl 0919.13009
Spivakovsky, Mark
44
1999
Key polynomials and pseudo-convergent sequences. Zbl 1391.13009
Novacoski, Josnei; Spivakovsky, Mark
27
2018
Valuations in algebraic field extensions. Zbl 1170.12002
Herrera Govantes, F. J.; Olalla Acosta, M. A.; Spivakovsky, M.
20
2007
Abstract key polynomials and comparison theorems with the key polynomials of Mac Lane-Vaquié. Zbl 1432.12001
Decaup, J.; Mahboub, W.; Spivakovsky, M.
16
2018
A solution to Hironaka’s polyhedra game. Zbl 0531.14009
Spivakovsky, Mark
15
1983
Extending a valuation centred in a local domain to the formal completion. Zbl 1276.12004
Herrera Govantes, F. J.; Olalla Acosta, M. A.; Spivakovsky, M.; Teissier, B.
14
2012
Nash resolution for binomial varieties as Euclidean division. A priori termination bound, polynomial complexity in essential dimension 2. Zbl 1287.14004
Grigoriev, Dima; Milman, Pierre D.
13
2012
Proof of the Fukui conjecture via resolution of singularities and related methods. I. Zbl 1068.92048
Arimoto, Shigeru; Spivakovsky, Mark; Taylor, Keith F.; Mezey, Paul G.
10
2005
Reduction of singularities of three-dimensional line foliations. Zbl 1346.14038
Cano, F.; Roche, C.; Spivakovsky, M.
10
2014
Non-existence of the Artin function for Henselian pairs. Zbl 0803.13005
Spivakovsky, Mark
7
1994
Proof of the Fukui conjecture via resolution of singularities and related methods. II. Zbl 1075.92055
Arimoto, Shigeru; Spivakovsky, Mark; Taylor, Keith F.; Mezey, Paul G.
7
2005
On connectedness of sets in the real spectra of polynomial rings. Zbl 1169.14039
Lucas, F.; Madden, J. J.; Schaub, D.; Spivakovsky, M.
7
2009
Valuations, the linear Artin approximation theorem and convergence of formal functions. Zbl 0747.13004
Spivakovsky, Mark
6
1990
The analogue of Izumi’s theorem for Abhyankar valuations. Zbl 1318.13007
Rond, G.; Spivakovsky, M.
6
2014
Reduction of local uniformization to the rank one case. Zbl 1312.13010
Novacoski, Josnei; Spivakovsky, Mark
6
2014
On common extensions of valued fields. Zbl 1486.12007
Mahboub, W.; Mansour, A.; Spivakovsky, M.
6
2021
Approximate roots of a valuation and the Pierce-Birkhoff conjecture. Zbl 1271.13051
Lucas, F.; Madden, J.; Schaub, D.; Spivakovsky, M.
5
2012
The Nash problem of arcs and the rational double point \(E_{6}\). Zbl 1271.14006
Plénat, Camille; Spivakovsky, Mark
5
2012
Proof of the Fukui conjecture via resolution of singularities and related methods. IV. Zbl 1262.92072
Arimoto, Shigeru; Spivakovsky, Mark; Taylor, Keith F.; Mezey, Paul G.
3
2010
Proof of the Fukui conjecture via resolution of singularities and related methods. V. Zbl 1262.92073
Arimoto, Shigeru; Spivakovsky, Mark; Yoshida, Eiji; Taylor, Keith F.; Mezey, Paul G.
3
2011
The Nash problem and its solution: a survey. Zbl 1327.14021
Plénat, Camille; Spivakovsky, Mark
3
2015
Key polynomials for simple extensions of valued fields. Zbl 1530.13008
Herrera Govantes, F. J.; Mahboub, W.; Olalla Acosta, M. A.; Spivakovsky, M.
3
2022
Reduction of local uniformization to the case of rank one valuations for rings with zero divisors. Zbl 1372.13003
Novacoski, Josnei; Spivakovsky, Mark
3
2017
A counterexample to the theorem of Beppo Levi in three dimensions. Zbl 0688.14012
Spivakovsky, Mark
2
1989
Sandwiched surface singularities and the Nash resolution problem. Zbl 0626.14012
Spivakovsky, Mark
2
1987
A counterexample to Hironaka’s ”hard” polyhedra game. Zbl 0531.14010
Spivakovsky, Mark
2
1982
Equisingularity in one-parameter families of generically reduced curves. Zbl 1405.32042
Fernández de Bobadilla, J.; Snoussi, J.; Spivakovsky, M.
2
2017
On the local uniformization problem. Zbl 1346.13048
Novacoski, Josnei; Spivakovsky, Mark
2
2016
Resolution of singularities: an introduction. Zbl 1477.14025
Spivakovsky, Mark
2
2020
Repeat space theory applied to carbon nanotubes and related molecular networks. III. Zbl 1402.92442
Arimoto, Shigeru; Spivakovsky, Mark; Amini, Massoud; Yoshida, Eiji; Yokotani, Masaaki; Yamabe, Tokio
1
2012
Extending valuations to formal completions. Zbl 1376.12012
Herrera Govantes, Francisco Javier; Olalla Acosta, Miguel Ángel; Spivakovsky, Mark; Teissier, Bernard
1
2014
On the Pierce-Birkhoff conjecture. Zbl 1386.14197
Lucas, F.; Schaub, D.; Spivakovsky, M.
1
2015
Generalization of a result of Hickel, Ito and Izumi about a Diophantine inequality. Zbl 1310.13015
Beddani, Charef; Spivakovsky, Mark
1
2015
On the structure of the graded algebra associated to a valuation. Zbl 1440.13023
Barnabé, M. S.; Novacoski, J.; Spivakovsky, M.
1
2020
Graded rings associated to valuations and direct limits. Zbl 1509.13011
Silva de Souza, C. H.; Novacoski, J. A.; Spivakovsky, M.
1
2023
Newton non-degenerate \(\mu\)-constant deformations admit simultaneous embedded resolutions. Zbl 1502.14012
Leyton-Álvarez, Maximiliano; Mourtada, Hussein; Spivakovsky, Mark
1
2022
On stable and fixed polynomials. Zbl 1498.13012
Novacoski, J.; Spivakovsky, M.
1
2023
Graded rings associated to valuations and direct limits. Zbl 1509.13011
Silva de Souza, C. H.; Novacoski, J. A.; Spivakovsky, M.
1
2023
On stable and fixed polynomials. Zbl 1498.13012
Novacoski, J.; Spivakovsky, M.
1
2023
Key polynomials for simple extensions of valued fields. Zbl 1530.13008
Herrera Govantes, F. J.; Mahboub, W.; Olalla Acosta, M. A.; Spivakovsky, M.
3
2022
Newton non-degenerate \(\mu\)-constant deformations admit simultaneous embedded resolutions. Zbl 1502.14012
Leyton-Álvarez, Maximiliano; Mourtada, Hussein; Spivakovsky, Mark
1
2022
On common extensions of valued fields. Zbl 1486.12007
Mahboub, W.; Mansour, A.; Spivakovsky, M.
6
2021
Resolution of singularities: an introduction. Zbl 1477.14025
Spivakovsky, Mark
2
2020
On the structure of the graded algebra associated to a valuation. Zbl 1440.13023
Barnabé, M. S.; Novacoski, J.; Spivakovsky, M.
1
2020
Key polynomials and pseudo-convergent sequences. Zbl 1391.13009
Novacoski, Josnei; Spivakovsky, Mark
27
2018
Abstract key polynomials and comparison theorems with the key polynomials of Mac Lane-Vaquié. Zbl 1432.12001
Decaup, J.; Mahboub, W.; Spivakovsky, M.
16
2018
Reduction of local uniformization to the case of rank one valuations for rings with zero divisors. Zbl 1372.13003
Novacoski, Josnei; Spivakovsky, Mark
3
2017
Equisingularity in one-parameter families of generically reduced curves. Zbl 1405.32042
Fernández de Bobadilla, J.; Snoussi, J.; Spivakovsky, M.
2
2017
On the local uniformization problem. Zbl 1346.13048
Novacoski, Josnei; Spivakovsky, Mark
2
2016
The Nash problem and its solution: a survey. Zbl 1327.14021
Plénat, Camille; Spivakovsky, Mark
3
2015
On the Pierce-Birkhoff conjecture. Zbl 1386.14197
Lucas, F.; Schaub, D.; Spivakovsky, M.
1
2015
Generalization of a result of Hickel, Ito and Izumi about a Diophantine inequality. Zbl 1310.13015
Beddani, Charef; Spivakovsky, Mark
1
2015
Reduction of singularities of three-dimensional line foliations. Zbl 1346.14038
Cano, F.; Roche, C.; Spivakovsky, M.
10
2014
The analogue of Izumi’s theorem for Abhyankar valuations. Zbl 1318.13007
Rond, G.; Spivakovsky, M.
6
2014
Reduction of local uniformization to the rank one case. Zbl 1312.13010
Novacoski, Josnei; Spivakovsky, Mark
6
2014
Extending valuations to formal completions. Zbl 1376.12012
Herrera Govantes, Francisco Javier; Olalla Acosta, Miguel Ángel; Spivakovsky, Mark; Teissier, Bernard
1
2014
Extending a valuation centred in a local domain to the formal completion. Zbl 1276.12004
Herrera Govantes, F. J.; Olalla Acosta, M. A.; Spivakovsky, M.; Teissier, B.
14
2012
Nash resolution for binomial varieties as Euclidean division. A priori termination bound, polynomial complexity in essential dimension 2. Zbl 1287.14004
Grigoriev, Dima; Milman, Pierre D.
13
2012
Approximate roots of a valuation and the Pierce-Birkhoff conjecture. Zbl 1271.13051
Lucas, F.; Madden, J.; Schaub, D.; Spivakovsky, M.
5
2012
The Nash problem of arcs and the rational double point \(E_{6}\). Zbl 1271.14006
Plénat, Camille; Spivakovsky, Mark
5
2012
Repeat space theory applied to carbon nanotubes and related molecular networks. III. Zbl 1402.92442
Arimoto, Shigeru; Spivakovsky, Mark; Amini, Massoud; Yoshida, Eiji; Yokotani, Masaaki; Yamabe, Tokio
1
2012
Proof of the Fukui conjecture via resolution of singularities and related methods. V. Zbl 1262.92073
Arimoto, Shigeru; Spivakovsky, Mark; Yoshida, Eiji; Taylor, Keith F.; Mezey, Paul G.
3
2011
Proof of the Fukui conjecture via resolution of singularities and related methods. IV. Zbl 1262.92072
Arimoto, Shigeru; Spivakovsky, Mark; Taylor, Keith F.; Mezey, Paul G.
3
2010
On connectedness of sets in the real spectra of polynomial rings. Zbl 1169.14039
Lucas, F.; Madden, J. J.; Schaub, D.; Spivakovsky, M.
7
2009
Valuations in algebraic field extensions. Zbl 1170.12002
Herrera Govantes, F. J.; Olalla Acosta, M. A.; Spivakovsky, M.
20
2007
Proof of the Fukui conjecture via resolution of singularities and related methods. I. Zbl 1068.92048
Arimoto, Shigeru; Spivakovsky, Mark; Taylor, Keith F.; Mezey, Paul G.
10
2005
Proof of the Fukui conjecture via resolution of singularities and related methods. II. Zbl 1075.92055
Arimoto, Shigeru; Spivakovsky, Mark; Taylor, Keith F.; Mezey, Paul G.
7
2005
A new proof of D. Popescu’s theorem on smoothing of ring homomorphisms. Zbl 0919.13009
Spivakovsky, Mark
44
1999
Non-existence of the Artin function for Henselian pairs. Zbl 0803.13005
Spivakovsky, Mark
7
1994
Valuations in function fields of surfaces. Zbl 0716.13003
Spivakovsky, Mark
102
1990
Sandwiched singularities and desingularization of surfaces by normalized Nash transformations. Zbl 0719.14005
Spivakovsky, Mark
58
1990
Valuations, the linear Artin approximation theorem and convergence of formal functions. Zbl 0747.13004
Spivakovsky, Mark
6
1990
A counterexample to the theorem of Beppo Levi in three dimensions. Zbl 0688.14012
Spivakovsky, Mark
2
1989
Sandwiched surface singularities and the Nash resolution problem. Zbl 0626.14012
Spivakovsky, Mark
2
1987
A solution to Hironaka’s polyhedra game. Zbl 0531.14009
Spivakovsky, Mark
15
1983
A counterexample to Hironaka’s ”hard” polyhedra game. Zbl 0531.14010
Spivakovsky, Mark
2
1982
all top 5

Cited by 255 Authors

22 Spivakovsky, Mark
18 Cutkosky, Steven Dale
18 Galindo Pastor, Carlos
13 Novacoski, Josnei Antonio
10 Arimoto, Shigeru
9 Monserrat, Francisco
8 Mourtada, Hussein
8 Pichon, Anne
8 Popescu, Dorin
8 Rond, Guillaume
7 Nart, Enric
6 Bilski, Marcin
6 Duarte, Daniel C. S.
6 Dutta, Arpan
6 Fernández-Sánchez, Jesús
6 Piltant, Olivier
5 Granja, Angel
5 Hauser, Herwig
5 Kashcheyeva, Olga
5 Lucas, François
5 Schaub, Daniel
5 Teissier, Bernard
4 Alberich-Carramiñana, Maria
4 Bishnoi, Anuj
4 Campillo, Antonio
4 Cano, Felipe
4 Cossart, Vincent
4 de Felipe, Ana Belén
4 Fantini, Lorenzo
4 González Pérez, Pedro Daniel
4 Jonsson, Mattias
4 Martínez, Ma. Carmen
4 Mavi, Sneha
4 Moyano Fernández, Julio José
4 Pedersen, Helge Møller
4 Pfister, Gerhard
4 Reguera, Ana-José
4 Rodríguez, Cristina
3 Belotto, André
3 Chávez Martínez, Enrique
3 Delgado, Felix
3 ElHitti, Samar
3 Favre, Charles
3 Fedorov, Roman M.
3 Fernández de Bobadilla, Javier
3 Ghezzi, Laura
3 Guàrdia, Jordi
3 Madden, James J.
3 Mezey, Paul G.
3 Milman, Pierre D.
3 Moreno-Ávila, Carlos-Jesús
3 Némethi, András
3 Neumann, Walter David
3 Parusiński, Adam
3 Plénat, Camille
3 Popescu-Pampu, Patrick
3 Roé, Joaquim
3 Snoussi, Jawad
3 Taylor, Keith Frederick
3 Temkin, Michael
3 Tornero, José María
3 Veys, Willem
3 Vos, Lena
2 Akéké, Eric Dago
2 Alonso, Mariemi E.
2 Aroca, Fuensanta
2 Beck, Tobias
2 Beddani, Charef
2 Bondil, Romain
2 Castro-Jiménez, Francisco Jesús
2 Datta, Rankeya
2 de Moraes, Michael
2 Faber, Eleonore
2 Fernandez, Julio
2 Giles Flores, Arturo
2 Fortuny Ayuso, Pedro
2 García Barroso, Evelia Rosa
2 Gusein-Zade, Sabir M.
2 Heinzer, William J.
2 Huneke, Craig L.
2 Hyry, Eero
2 Järvilehto, Tarmo
2 Källström, Rolf
2 Katz, Daniel
2 Khan, Adeel A.
2 Kiyek, Karl-Heinz
2 Kollár, János
2 Kovács, Sándor J.
2 Leyton-Alvarez, Maximiliano
2 Lieblich, Max David
2 Mahboub, Wael
2 Martín-Morales, Jorge
2 Olberding, Bruce M.
2 Pe Pereira, María
2 Piedra, Ramon
2 Reis, Helena
2 Ribón, Javier
2 Roche, Claude Andre
2 San Saturnino, Jean-Christophe
2 Sanz Sánchez, Fernando
...and 155 more Authors
all top 5

Cited in 83 Serials

37 Journal of Algebra
26 Journal of Pure and Applied Algebra
18 Communications in Algebra
10 Advances in Mathematics
10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
10 Journal of Mathematical Chemistry
9 Annales de l’Institut Fourier
9 Transactions of the American Mathematical Society
8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 Journal of the London Mathematical Society. Second Series
7 Manuscripta Mathematica
5 Mathematische Annalen
5 Mathematische Zeitschrift
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Algebra & Number Theory
5 Journal of Singularities
4 Compositio Mathematica
4 Bulletin of the American Mathematical Society. New Series
4 Journal of Algebra and its Applications
3 Michigan Mathematical Journal
3 Revista Matemática Iberoamericana
3 International Journal of Mathematics
3 Revista Matemática Complutense
3 Annals of Mathematics. Second Series
3 Journal of Commutative Algebra
2 Acta Mathematica Vietnamica
2 Bulletin de la Société Mathématique de France
2 Duke Mathematical Journal
2 Inventiones Mathematicae
2 Mathematische Nachrichten
2 Memoirs of the American Mathematical Society
2 Pacific Journal of Mathematics
2 Proceedings of the American Mathematical Society
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Rendiconti del Seminario Matematico della Università di Padova
2 Results in Mathematics
2 Journal of Symbolic Computation
2 Journal of the American Mathematical Society
2 Designs, Codes and Cryptography
2 Journal of Algebraic Geometry
2 Finite Fields and their Applications
1 American Mathematical Monthly
1 Israel Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Russian Mathematical Surveys
1 The Mathematical Intelligencer
1 Beiträge zur Algebra und Geometrie
1 Acta Mathematica
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Illinois Journal of Mathematics
1 Publications Mathématiques
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Quaestiones Mathematicae
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Tôhoku Mathematical Journal. Second Series
1 Topology and its Applications
1 European Journal of Combinatorics
1 Publicacions Matemàtiques
1 International Journal of Algebra and Computation
1 IMRN. International Mathematics Research Notices
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Indagationes Mathematicae. New Series
1 Applicable Algebra in Engineering, Communication and Computing
1 Experimental Mathematics
1 Algebra Colloquium
1 Bulletin des Sciences Mathématiques
1 The Ramanujan Journal
1 Geometry & Topology
1 Algebras and Representation Theory
1 Qualitative Theory of Dynamical Systems
1 Advances in Geometry
1 Foundations of Computational Mathematics
1 Oberwolfach Reports
1 International Journal of Number Theory
1 Journal of Physics A: Mathematical and Theoretical
1 Japanese Journal of Mathematics. 3rd Series
1 Kyoto Journal of Mathematics
1 Journal de l’École Polytechnique – Mathématiques

Citations by Year

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