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Cossart, Vincent

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Author ID: cossart.vincent Recent zbMATH articles by "Cossart, Vincent"
Published as: Cossart, V.; Cossart, Vincent
External Links: MGP
Documents Indexed: 30 Publications since 1975, including 2 Books
Reviewing Activity: 37 Reviews

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 242 times in 122 Documents Cited by Year
Resolution of singularities of threefolds in positive characteristic. II. Zbl 1173.14012
Cossart, Vincent; Piltant, Olivier
66
2009
Resolution of singularities of threefolds in positive characteristic. I: Reduction to local uniformization on Artin-Schreier and purely inseparable coverings. Zbl 1159.14009
Cossart, Vincent; Piltant, Olivier
61
2008
Resolution of surface singularities. Three lectures with an appendix by H. Hironaka. Ed. by U. Orbanz. Zbl 0553.14003
Cossart, Vincent; Giraud, Jean; Orbanz, Ulrich
17
1984
Desingularization of embedded excellent surfaces. Zbl 0472.14019
Cossart, Vincent
12
1981
Resolution of singularities of threefolds in mixed characteristic: case of small multiplicity. Zbl 1308.13004
Cossart, Vincent; Piltant, Olivier
9
2014
Sur le polyèdre caractéristique d’une singularité. Zbl 0333.32008
Cossart, Vincent
9
1975
Un exemple effectif de gradué non noethérien associé à une valuation divisorielle. (An effective example of a non noetherian graduate ring associated to a divisorial valuation). Zbl 0966.13001
Cossart, Vincent; Galindo, Carlos; Piltant, Olivier
8
2000
Resolution of singularities of arithmetical threefolds. Zbl 07057272
Cossart, Vincent; Piltant, Olivier
6
2019
Approximated roots, generating sequences, sufficiency of jets. Zbl 1103.13013
Cossart, Vincent; Moreno-Socías, Guillermo
6
2005
Polyèdre caractéristique et éclatements combinatoires. (Characteristic polyhedron and combinatorial blowing-ups). Zbl 0708.14010
Cossart, V.
6
1989
Characteristic polyhedra of singularities without completion. Zbl 1308.14008
Cossart, Vincent; Piltant, Olivier
5
2015
Irreducibility criterion: A geometric point of view. Zbl 1092.14501
Cossart, Vincent; Moreno-Socías, Guillermo
5
2003
Regular projective model and desingularization. Zbl 0735.14011
Cossart, V.
4
1992
Maximal contact in positive characteristic and small multiplicity. Zbl 0752.14011
Cossart, V.
4
1991
Forme normale d’une fonction sur un k-schéma de dimension 3 et de caractéristique positive. (Normal form of a function on a k-scheme of dimension 3 and of positive characteristic). Zbl 0621.14015
Cossart, V.
4
1987
Ridge of the tangent cone of a singularity: a forgotten theorem. Zbl 1360.14011
Cossart, Vincent; Piltant, Olivier; Schober, Bernd
3
2017
Divisorial valuations dominating rational surface singularities. Zbl 1064.14036
Cossart, Vincent; Piltant, Olivier; Reguera-López, Ana J.
3
2002
Uniformization and desingularization of surfaces after Zariski. Zbl 0973.14006
Cossart, Vincent
3
2000
On isomorphisms of blowing-ups of complete ideals of a rational surface singularity. Zbl 0938.14016
Cossart, Vincent; Piltant, Olivier; Reguera-López, Ana J.
3
1999
Is there a notion of weak maximal contact in characteristic \(p>0\)? Zbl 1264.14022
Cossart, Vincent
2
2011
Desingularization: invariants and strategy. Application to dimension 2. With contributions by Bernd Schober. Zbl 07248448
Cossart, Vincent; Jannsen, Uwe; Saito, Shuji
1
2020
Invariance of Hironaka’s characteristic polyhedron. Zbl 1430.14077
Cossart, Vincent; Jannsen, Uwe; Schober, Bernd
1
2019
Dicritical divisors after S.S. Abhyankar and I. Luengo. Zbl 1246.14023
Cossart, Vincent; Matusinski, Mickaël
1
2011
Belghitti-Gruson or Semple? Zbl 1084.14505
Cossart, Vincent
1
2003
Desingularization: A few bad examples in dim. 3, characteristic \(p>0\). Zbl 1086.14505
Cossart, Vincent
1
2003
Desingularisation in dimension 3 and characteristic \(p\). Zbl 0860.14011
Cossart, Vincent
1
1996
Desingularization: invariants and strategy. Application to dimension 2. With contributions by Bernd Schober. Zbl 07248448
Cossart, Vincent; Jannsen, Uwe; Saito, Shuji
1
2020
Resolution of singularities of arithmetical threefolds. Zbl 07057272
Cossart, Vincent; Piltant, Olivier
6
2019
Invariance of Hironaka’s characteristic polyhedron. Zbl 1430.14077
Cossart, Vincent; Jannsen, Uwe; Schober, Bernd
1
2019
Ridge of the tangent cone of a singularity: a forgotten theorem. Zbl 1360.14011
Cossart, Vincent; Piltant, Olivier; Schober, Bernd
3
2017
Characteristic polyhedra of singularities without completion. Zbl 1308.14008
Cossart, Vincent; Piltant, Olivier
5
2015
Resolution of singularities of threefolds in mixed characteristic: case of small multiplicity. Zbl 1308.13004
Cossart, Vincent; Piltant, Olivier
9
2014
Is there a notion of weak maximal contact in characteristic \(p>0\)? Zbl 1264.14022
Cossart, Vincent
2
2011
Dicritical divisors after S.S. Abhyankar and I. Luengo. Zbl 1246.14023
Cossart, Vincent; Matusinski, Mickaël
1
2011
Resolution of singularities of threefolds in positive characteristic. II. Zbl 1173.14012
Cossart, Vincent; Piltant, Olivier
66
2009
Resolution of singularities of threefolds in positive characteristic. I: Reduction to local uniformization on Artin-Schreier and purely inseparable coverings. Zbl 1159.14009
Cossart, Vincent; Piltant, Olivier
61
2008
Approximated roots, generating sequences, sufficiency of jets. Zbl 1103.13013
Cossart, Vincent; Moreno-Socías, Guillermo
6
2005
Irreducibility criterion: A geometric point of view. Zbl 1092.14501
Cossart, Vincent; Moreno-Socías, Guillermo
5
2003
Belghitti-Gruson or Semple? Zbl 1084.14505
Cossart, Vincent
1
2003
Desingularization: A few bad examples in dim. 3, characteristic \(p>0\). Zbl 1086.14505
Cossart, Vincent
1
2003
Divisorial valuations dominating rational surface singularities. Zbl 1064.14036
Cossart, Vincent; Piltant, Olivier; Reguera-López, Ana J.
3
2002
Un exemple effectif de gradué non noethérien associé à une valuation divisorielle. (An effective example of a non noetherian graduate ring associated to a divisorial valuation). Zbl 0966.13001
Cossart, Vincent; Galindo, Carlos; Piltant, Olivier
8
2000
Uniformization and desingularization of surfaces after Zariski. Zbl 0973.14006
Cossart, Vincent
3
2000
On isomorphisms of blowing-ups of complete ideals of a rational surface singularity. Zbl 0938.14016
Cossart, Vincent; Piltant, Olivier; Reguera-López, Ana J.
3
1999
Desingularisation in dimension 3 and characteristic \(p\). Zbl 0860.14011
Cossart, Vincent
1
1996
Regular projective model and desingularization. Zbl 0735.14011
Cossart, V.
4
1992
Maximal contact in positive characteristic and small multiplicity. Zbl 0752.14011
Cossart, V.
4
1991
Polyèdre caractéristique et éclatements combinatoires. (Characteristic polyhedron and combinatorial blowing-ups). Zbl 0708.14010
Cossart, V.
6
1989
Forme normale d’une fonction sur un k-schéma de dimension 3 et de caractéristique positive. (Normal form of a function on a k-scheme of dimension 3 and of positive characteristic). Zbl 0621.14015
Cossart, V.
4
1987
Resolution of surface singularities. Three lectures with an appendix by H. Hironaka. Ed. by U. Orbanz. Zbl 0553.14003
Cossart, Vincent; Giraud, Jean; Orbanz, Ulrich
17
1984
Desingularization of embedded excellent surfaces. Zbl 0472.14019
Cossart, Vincent
12
1981
Sur le polyèdre caractéristique d’une singularité. Zbl 0333.32008
Cossart, Vincent
9
1975
all top 5

Cited by 127 Authors

11 Cossart, Vincent
11 Cutkosky, Steven Dale
8 Piltant, Olivier
7 Villamayor Uriburu, Orlando Eugenio
6 Schober, Bernd
3 Benito, Angélica
3 Cano, Felipe
3 Hauser, Herwig
3 Reguera, Ana-José
3 Tanaka, Hiromu
2 Bravo, Ana María
2 de Felipe, Ana Belén
2 ElHitti, Samar
2 Encinas, Santiago
2 Fernández-Sánchez, Jesús
2 Galindo Pastor, Carlos
2 Ghezzi, Laura
2 Gongyo, Yoshinori
2 Hirokado, Masayuki
2 Jannsen, Uwe
2 Jonsson, Mattias
2 Kashcheyeva, Olga
2 Kawanoue, Hiraku
2 Krishna, Amalendu
2 Matsuki, Kenji
2 Mourtada, Hussein
2 Nicaise, Johannes
2 Patakfalvi, Zsolt
2 Perlega, Stefan
2 Schwede, Karl E.
2 Temkin, Michael
2 Tornero, José María
2 Waldron, Joe
2 Xu, Chenyang
2 Zhang, Lei
2 Zhang, Tong
1 Abad, Carlos
1 Abhyankar, Shreeram Shankar
1 Abramovich, Dan
1 Beck, Tobias
1 Benguş-Lasnier, Andrei
1 Bhamidi, Shankar
1 Bierstone, Edward
1 Birkar, Caucher
1 Blum, Harold
1 Bodnár, Gábor
1 Boucksom, Sébastien
1 Bruce, David J.
1 Cobo Pablos, Helena
1 Das, Omprokash
1 de Fernex, Tommaso
1 Diaz, H. Anthony
1 Ein, Lawrence Man Hon
1 Favre, Charles
1 Frühbis-Krüger, Anne
1 García Barroso, Evelia Rosa
1 González Pérez, Pedro Daniel
1 Greenblatt, Michael
1 Gryszka, Beata
1 Gubler, Walter Bruno
1 Gwoździewicz, Janusz
1 Hà, Huy Tài
1 Hacon, Christopher Derek
1 Haution, Olivier
1 Herzog, Jürgen
1 Ibadula, Denis
1 Ishii, Shihoko
1 Ito, Hiroyuki
1 Järvilehto, Tarmo
1 Jell, Philipp
1 Kesteloot, Lore
1 Koley, Mitra
1 Kuhlmann, Franz-Viktor
1 Kummini, Manoj
1 Künnemann, Klaus
1 Küronya, Alex
1 León-Cardenal, Edwin
1 Li, Zhiyuan
1 Liedtke, Christian
1 Lindner, Niels
1 Logue, Molly
1 Martin, Florent
1 Martinez-Garcia, Jesus
1 Matsumoto, Yuya
1 Mattei, Jean-François
1 Mboro, René
1 Milman, Pierre D.
1 Molina-Samper, Beatriz
1 Monserrat, Francisco
1 Moreno-Socías, Guillermo
1 Nakamura, Yusuke
1 Novacoski, Josnei
1 Odaka, Yuji
1 Ottem, John Christian
1 Piedra, Ramon
1 Plénat, Camille
1 Płoski, Arkadiusz
1 Rajagopal, Ram
1 Ristau, Lukas
1 Roch, Sébastien
...and 27 more Authors
all top 5

Cited in 50 Serials

18 Journal of Algebra
9 Advances in Mathematics
8 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Mathematische Annalen
4 Annales de l’Institut Fourier
4 Journal of Pure and Applied Algebra
4 Manuscripta Mathematica
3 Communications in Algebra
3 Proceedings of the American Mathematical Society
3 Kyoto Journal of Mathematics
2 Compositio Mathematica
2 Duke Mathematical Journal
2 Journal für die Reine und Angewandte Mathematik
2 Transactions of the American Mathematical Society
2 Journal of Symbolic Computation
2 Journal of the American Mathematical Society
2 Bulletin of the American Mathematical Society. New Series
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Journal of Algebraic Geometry
2 Revista Matemática Complutense
2 Journal of the European Mathematical Society (JEMS)
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of the Institute of Mathematics of Jussieu
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
1 Mathematics of Computation
1 Acta Mathematica
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Journal of Functional Analysis
1 Journal of the Mathematical Society of Japan
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Results in Mathematics
1 Tohoku Mathematical Journal. Second Series
1 Bulletin of the Korean Mathematical Society
1 Sugaku Expositions
1 Random Structures & Algorithms
1 Designs, Codes and Cryptography
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Finite Fields and their Applications
1 Taiwanese Journal of Mathematics
1 Annals of Mathematics. Second Series
1 Foundations of Computational Mathematics
1 Journal of \(K\)-Theory
1 Journal of Commutative Algebra
1 Japanese Journal of Mathematics. 3rd Series
1 Journal de l’École Polytechnique – Mathématiques

Citations by Year