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Piltant, Olivier

Co-Author Distance
Author ID: piltant.olivier Recent zbMATH articles by "Piltant, Olivier"
Published as: Piltant, Olivier
External Links: MGP
Documents Indexed: 21 Publications since 1995, including 1 Additional arXiv Preprint
Co-Authors: 7 Co-Authors with 17 Joint Publications
124 Co-Co-Authors
all top 5

Co-Authors

4 single-authored
11 Cossart, Vincent
7 Reguera, Ana-José
2 Campillo, Antonio
2 Cutkosky, Steven Dale
2 Schober, Bernd
1 Benito, Angélica
1 Galindo Pastor, Carlos
all top 5

Serials

4 Journal of Algebra
2 Annales de l’Institut Fourier
2 Journal of Pure and Applied Algebra
2 Mathematische Annalen
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Communications in Algebra
1 Advances in Mathematics
1 Manuscripta Mathematica
1 Proceedings of the London Mathematical Society. Third Series
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
all top 5

Fields

19 Algebraic geometry (14-XX)
10 Commutative algebra (13-XX)
2 Number theory (11-XX)
2 Several complex variables and analytic spaces (32-XX)
1 Field theory and polynomials (12-XX)
1 Global analysis, analysis on manifolds (58-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

17 Publications have been cited 316 times in 188 Documents Cited by ▼ Year ▼
Resolution of singularities of threefolds in positive characteristic. II. Zbl 1173.14012
Cossart, Vincent; Piltant, Olivier
92
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
79
2008
Ramification of valuations. Zbl 1105.14015
Cutkosky, Steven Dale; Piltant, Olivier
30
2004
Resolution of singularities of arithmetical threefolds. Zbl 1467.14008
Cossart, Vincent; Piltant, Olivier
27
2019
Cones of curves and of line bundles on surfaces associated with curves having one place at infinity. Zbl 1074.14505
Campillo, Antonio; Piltant, Olivier; Reguera-López, Ana J.
18
2002
Resolution of singularities of threefolds in mixed characteristic: case of small multiplicity. Zbl 1308.13004
Cossart, Vincent; Piltant, Olivier
11
2014
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
11
2000
Monomial resolutions of morphisms of algebraic surfaces. Zbl 1003.14004
Cutkosky, Dale; Piltant, Olivier
10
2000
Cones of curves and of line bundles “at infinity”. Zbl 1086.14006
Campillo, Antonio; Piltant, Olivier; Reguera, Ana J.
9
2005
An axiomatic version of Zariski’s patching theorem. Zbl 1267.14021
Piltant, Olivier
8
2013
Characteristic polyhedra of singularities without completion. Zbl 1308.14008
Cossart, Vincent; Piltant, Olivier
6
2015
Ridge of the tangent cone of a singularity: a forgotten theorem. (Faîte du cône tangent à une singularité: un théorème oublié.) Zbl 1360.14011
Cossart, Vincent; Piltant, Olivier; Schober, Bernd
4
2017
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
Divisorial valuations dominating rational surface singularities. Zbl 1064.14036
Cossart, Vincent; Piltant, Olivier; Reguera-López, Ana J.
3
2002
On the Jung method in positive characteristic. Zbl 1078.14018
Piltant, Olivier
3
2003
Local uniformization and arc spaces. Zbl 1423.13039
Piltant, Olivier; Reguera, Ana J.
1
2018
Small irreducible components of arc spaces in positive characteristic. Zbl 1493.13014
Benito, Angélica; Piltant, Olivier; Reguera, Ana J.
1
2022
Small irreducible components of arc spaces in positive characteristic. Zbl 1493.13014
Benito, Angélica; Piltant, Olivier; Reguera, Ana J.
1
2022
Resolution of singularities of arithmetical threefolds. Zbl 1467.14008
Cossart, Vincent; Piltant, Olivier
27
2019
Local uniformization and arc spaces. Zbl 1423.13039
Piltant, Olivier; Reguera, Ana J.
1
2018
Ridge of the tangent cone of a singularity: a forgotten theorem. (Faîte du cône tangent à une singularité: un théorème oublié.) Zbl 1360.14011
Cossart, Vincent; Piltant, Olivier; Schober, Bernd
4
2017
Characteristic polyhedra of singularities without completion. Zbl 1308.14008
Cossart, Vincent; Piltant, Olivier
6
2015
Resolution of singularities of threefolds in mixed characteristic: case of small multiplicity. Zbl 1308.13004
Cossart, Vincent; Piltant, Olivier
11
2014
An axiomatic version of Zariski’s patching theorem. Zbl 1267.14021
Piltant, Olivier
8
2013
Resolution of singularities of threefolds in positive characteristic. II. Zbl 1173.14012
Cossart, Vincent; Piltant, Olivier
92
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
79
2008
Cones of curves and of line bundles “at infinity”. Zbl 1086.14006
Campillo, Antonio; Piltant, Olivier; Reguera, Ana J.
9
2005
Ramification of valuations. Zbl 1105.14015
Cutkosky, Steven Dale; Piltant, Olivier
30
2004
On the Jung method in positive characteristic. Zbl 1078.14018
Piltant, Olivier
3
2003
Cones of curves and of line bundles on surfaces associated with curves having one place at infinity. Zbl 1074.14505
Campillo, Antonio; Piltant, Olivier; Reguera-López, Ana J.
18
2002
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
11
2000
Monomial resolutions of morphisms of algebraic surfaces. Zbl 1003.14004
Cutkosky, Dale; Piltant, Olivier
10
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
all cited Publications top 5 cited Publications
all top 5

Cited by 169 Authors

28 Cutkosky, Steven Dale
11 Monserrat, Francisco
11 Piltant, Olivier
9 Galindo Pastor, Carlos
8 Cossart, Vincent
8 Villamayor Uriburu, Orlando Eugenio
7 Kuhlmann, Franz-Viktor
7 Schober, Bernd
6 Reguera, Ana-José
5 Zhang, Lei
4 Benito, Angélica
4 Bravo, Ana María
4 de la Rosa Navarro, Brenda Leticia
4 Kashcheyeva, Olga
4 Lahyane, Mustapha
4 Mourtada, Hussein
4 Schwede, Karl E.
4 Temkin, Michael
4 Waldron, Joe
3 Cano, Felipe
3 ElHitti, Samar
3 Frías Medina, Juan Bosco
3 Ghezzi, Laura
3 Hauser, Herwig
3 Jonsson, Mattias
3 Matsuki, Kenji
3 Moreno-Ávila, Carlos-Jesús
3 Patakfalvi, Zsolt
3 Tanaka, Hiromu
3 Tucker, Kevin
3 Włodarczyk, Jarosław
2 Abramovich, Dan
2 Ahmadian, Razieh
2 Blaszczok, Anna
2 de Felipe, Ana Belén
2 Encinas, Santiago
2 Favre, Charles
2 Fernández-Sánchez, Jesús
2 Ferragut, Antoni
2 Gongyo, Yoshinori
2 Haution, Olivier
2 Hirokado, Masayuki
2 Ishii, Shihoko
2 Jannsen, Uwe
2 Kollár, János
2 Krishna, Amalendu
2 Ma, Linquan
2 Nicaise, Johannes
2 Novacoski, Josnei Antonio
2 Perlega, Stefan
2 Rebelo, Julio C.
2 Reis, Helena
2 Rülling, Kay
2 Saito, Shuji
2 Spivakovsky, Mark
2 Witaszek, Jakub
2 Xu, Chenyang
2 Zhang, Tong
2 Zhukov, Igor’ Borisovich
1 Abad, Carlos
1 Andablo-Reyes, Gloria
1 Annala, Toni M.
1 Aroca, Fuensanta
1 Auel, Asher Natan
1 Beheshti, Roya
1 Benguş-Lasnier, Andrei
1 Benoist, Olivier
1 Bernasconi, Fabio
1 Bhatt, Bhargav
1 Bigazzi, Alessandro
1 Birkar, Caucher
1 Blum, Harold
1 Böhning, Christian
1 Brivio, Iacopo
1 Bruce, David J.
1 Burgos Gil, José Ignacio
1 Campillo, Antonio
1 Cascini, Paolo
1 Cobo Pablos, Helena
1 Conca, Aldo
1 Das, Omprokash
1 de Fernex, Tommaso
1 Diaz, H. Anthony
1 Ein, Lawrence Man Hon
1 Ejiri, Sho
1 Faber, Eleonore
1 Failla, Gioia
1 Frühbis-Krüger, Anne
1 Gómez-Morales, Mirna
1 Graf von Bothmer, Hans-Christian
1 Gryszka, Beata
1 Gubler, Walter Bruno
1 Guo, Ning
1 Gwoździewicz, Janusz
1 Hà, Huy Tài
1 Hacon, Christopher Derek
1 Hanumanthu, Krishna
1 Herzog, Jürgen
1 Ibadula, Denis
1 Ito, Hiroyuki
...and 69 more Authors
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Cited in 68 Serials

24 Journal of Algebra
12 Advances in Mathematics
10 Journal of Pure and Applied Algebra
6 Manuscripta Mathematica
6 Transactions of the American Mathematical Society
5 Mathematische Annalen
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 Annales de l’Institut Fourier
4 Compositio Mathematica
4 Michigan Mathematical Journal
4 Journal of Algebraic Geometry
3 Communications in Algebra
3 Illinois Journal of Mathematics
3 Journal für die Reine und Angewandte Mathematik
3 Mathematische Nachrichten
3 Proceedings of the American Mathematical Society
3 Algebra & Number Theory
3 Kyoto Journal of Mathematics
2 Journal of Mathematical Analysis and Applications
2 Russian Mathematical Surveys
2 Inventiones Mathematicae
2 Journal of the London Mathematical Society. Second Series
2 Mathematische Zeitschrift
2 Results in Mathematics
2 Journal of the American Mathematical Society
2 Bulletin of the American Mathematical Society. New Series
2 Geometry & Topology
2 Revista Matemática Complutense
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 Journal of the Institute of Mathematics of Jussieu
1 Israel Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Mathematics of Computation
1 Beiträge zur Algebra und Geometrie
1 American Journal of Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Canadian Mathematical Bulletin
1 Collectanea Mathematica
1 Commentarii Mathematici Helvetici
1 Indiana University Mathematics Journal
1 Publications Mathématiques
1 Journal of Differential Equations
1 Memoirs of the American Mathematical Society
1 Quaestiones Mathematicae
1 Bulletin of the Korean Mathematical Society
1 Revista Matemática Iberoamericana
1 Sugaku Expositions
1 International Journal of Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Vestnik St. Petersburg University. Mathematics
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 St. Petersburg Mathematical Journal
1 Finite Fields and their Applications
1 Taiwanese Journal of Mathematics
1 Qualitative Theory of Dynamical Systems
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Oberwolfach Reports
1 Journal of \(K\)-Theory
1 Journal of Commutative Algebra
1 Japanese Journal of Mathematics. 3rd Series
1 Arabian Journal of Mathematics
1 European Journal of Mathematics
1 Journal de l’École Polytechnique – Mathématiques
1 Transactions of the American Mathematical Society. Series B
1 Electronic Research Archive
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Cited in 19 Fields

158 Algebraic geometry (14-XX)
74 Commutative algebra (13-XX)
20 Several complex variables and analytic spaces (32-XX)
19 Field theory and polynomials (12-XX)
12 Number theory (11-XX)
5 Associative rings and algebras (16-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 \(K\)-theory (19-XX)
3 Algebraic topology (55-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Ordinary differential equations (34-XX)
2 Convex and discrete geometry (52-XX)
1 Group theory and generalizations (20-XX)
1 Differential geometry (53-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year