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Coste, Michel

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Author ID: coste.michel Recent zbMATH articles by "Coste, Michel"
Published as: Coste, M.; Coste, Michel
Homepage: https://perso.univ-rennes1.fr/michel.coste/
External Links: MGP
Documents Indexed: 47 Publications since 1979, including 6 Books
Reviewing Activity: 41 Reviews

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 1,157 times in 971 Documents Cited by Year
Géométrie algébrique réelle. (Real algebraic geometry). Zbl 0633.14016
Bochnak, J.; Coste, M.; Roy, M.-F.
444
1987
Real algebraic geometry. Transl. from the French. Rev. and updated ed. Zbl 0912.14023
Bochnak, Jacek; Coste, Michel; Roy, Marie-Françoise
420
1998
Thom’s lemma, the coding of real algebraic numbers and the computation of the topology of semi-algebraic sets. Zbl 0689.14006
Coste, M.; Roy, M. F.
45
1988
Dynamical method in algebra: Effective Nullstellensätze. Zbl 0992.03076
Coste, Michel; Lombardi, Henri; Roy, Marie-Françoise
37
2001
La topologie du spectre réel. Zbl 0485.14007
Coste, Michel; Roy, Marie-Francoise
36
1982
Normal spectral spaces and their dimensions. Zbl 0525.14015
Carral, Michel; Coste, Michel
30
1983
Nash triviality in families of Nash manifolds. Zbl 0801.14017
Coste, Michel; Shiota, Masahiro
15
1992
Localisation, spectra and sheaf representation. Zbl 0422.18007
Coste, Michel
14
1979
Approximation in compact Nash manifolds. Zbl 0873.32007
Coste, Michel; Ruiz, Jesús M.; Shiota, Masahiro
11
1995
Topologies for real algebraic geometry. Zbl 0417.14002
Coste, Marie-Francoise; Coste, Michel
10
1979
Nash functions on noncompact Nash manifolds. Zbl 0981.14027
Coste, Michel; Shiota, Masahiro
9
2000
Thom’s first isotopy lemma: A semialgebraic version, with uniform bound. Zbl 0844.14025
Coste, Michel; Shiota, Masahiro
8
1995
On the link of a stratum in a real algebraic set. Zbl 0787.14038
Coste, Michel; Kurdyka, Krzysztof
8
1992
Atypical values at infinity of a polynomial function on the real plane: An erratum, and an algorithmic criterion. Zbl 1042.14038
Coste, M.; de la Puente, M. J.
7
2001
Real algebraic sets. Zbl 1144.14305
Coste, Michel
6
2007
Generalized Budan–Fourier theorem and virtual roots. Zbl 1106.12001
Coste, Michel; Lajous-Loaeza, Tomás; Lombardi, Henri; Roy, Marie-Françoise
5
2005
Uniform bounds on complexity and transfer of global properties of Nash functions. Zbl 0981.14028
Coste, Michel; Ruiz, Jesus M.; Shiota, Masahiro
5
2001
Separation, factorization and finite sheaves on Nash manifolds. Zbl 0885.14029
Coste, Michel; Ruiz, Jesús M.; Shiota, Masahiro
5
1996
Triviality of a family. Zbl 0801.14016
Coste, Michel; Reguiat, Miloud
5
1992
Ensembles semi-algébriques. Zbl 0498.14012
Coste, Michel
5
1982
Le spectre etale réel d’un anneau est spatial. Zbl 0433.14018
Coste-Roy, Marie-Francoise; Coste, Michel
5
1980
Global problems on Nash functions. Zbl 1056.14081
Coste, Michel; Ruiz, Jesús M.; Shiota, Masahiro
4
2004
The discriminant of a morphism of real algebraic manifolds. Zbl 0942.14031
Coste, Michel; Kurdyka, Krzysztof
3
1998
Arc spaces and additive invariants in real algebraic and analytic geometry. Zbl 1155.14313
Coste, Michel; Fukui, Toshizumi; Kurdyka, Krzysztof; McCrory, Clint; Parusiński, Adam; Paunescu, Laurentiu
2
2007
Topological types of fewnomials. Zbl 0932.12001
Coste, Michel
2
1998
Inspiration of a real algebraic hypersurface. Zbl 0788.14051
Coste, Michel
2
1992
Real algebraic geometry. Proceedings of the conference, held in Rennes, France, June 24-28, 1991. Zbl 0756.00007
Coste, Michel (ed.); Mahé, Louis (ed.); Roy, Marie-Françoise (ed.)
2
1992
Real algebraic 1-cocycles are Nash coboundaries. Zbl 0802.14022
Coste, Michel; Diop, Mamadou Makhtar
2
1992
Unicité des triangulations semi-algébriques: Validité sur un corps réel clos quelconque, et effectivité forte. (Uniqueness of semialgebraic triangulations: Validity on any real closed field, and strong effectiveness). Zbl 0745.14021
Coste, Michel
2
1991
Geodesic diameter of sets defined by few quadratic equations and inequalities. Zbl 1254.14065
Coste, Michel; Moussa, Seydou
1
2012
Sous-ensembles algébriques réels de codimension 2. (Real algebraic subsets of codimension 2). Zbl 0723.14040
Coste, Michel
1
1990
Another proof of the existence of stratifications satisfying the Verdier condition \(w\). Zbl 0787.14037
Coste, Michel; Roy, Marie-Françoise
1
1989
Sous-ensembles algébriques réels de codimension 1. (Real algebraic subsets of codimension 1). Zbl 0587.14013
Coste, Michel
1
1985
Géométrie algébrique réelle et formes quadratiques. Journées Soc. Math. Fr., Université de Rennes 1, Mai 1981. Zbl 0487.00005
Colliot-Thélène, Jean-Louis (ed.); Coste, Michel (ed.); Mahé, Louis (ed.); Roy, Marie-Françoise (ed.)
1
1982
Le topos etale réel d’un anneau. Zbl 0454.18008
Coste, Michel; Coste-Roy, Marie-Francoise
1
1981
Contribution to the study of the natural number object in elementary topoi. Zbl 0427.03056
Coste-Roy, Marie-Francoise; Coste, Michel; Mahe, Louis
1
1980
The generic model of an \(\varepsilon\)-stable geometric extension of the theory of rings of line type. Zbl 0427.18008
Coste, Marie-Francoise; Coste, Michel
1
1979
Geodesic diameter of sets defined by few quadratic equations and inequalities. Zbl 1254.14065
Coste, Michel; Moussa, Seydou
1
2012
Real algebraic sets. Zbl 1144.14305
Coste, Michel
6
2007
Arc spaces and additive invariants in real algebraic and analytic geometry. Zbl 1155.14313
Coste, Michel; Fukui, Toshizumi; Kurdyka, Krzysztof; McCrory, Clint; Parusiński, Adam; Paunescu, Laurentiu
2
2007
Generalized Budan–Fourier theorem and virtual roots. Zbl 1106.12001
Coste, Michel; Lajous-Loaeza, Tomás; Lombardi, Henri; Roy, Marie-Françoise
5
2005
Global problems on Nash functions. Zbl 1056.14081
Coste, Michel; Ruiz, Jesús M.; Shiota, Masahiro
4
2004
Dynamical method in algebra: Effective Nullstellensätze. Zbl 0992.03076
Coste, Michel; Lombardi, Henri; Roy, Marie-Françoise
37
2001
Atypical values at infinity of a polynomial function on the real plane: An erratum, and an algorithmic criterion. Zbl 1042.14038
Coste, M.; de la Puente, M. J.
7
2001
Uniform bounds on complexity and transfer of global properties of Nash functions. Zbl 0981.14028
Coste, Michel; Ruiz, Jesus M.; Shiota, Masahiro
5
2001
Nash functions on noncompact Nash manifolds. Zbl 0981.14027
Coste, Michel; Shiota, Masahiro
9
2000
Real algebraic geometry. Transl. from the French. Rev. and updated ed. Zbl 0912.14023
Bochnak, Jacek; Coste, Michel; Roy, Marie-Françoise
420
1998
The discriminant of a morphism of real algebraic manifolds. Zbl 0942.14031
Coste, Michel; Kurdyka, Krzysztof
3
1998
Topological types of fewnomials. Zbl 0932.12001
Coste, Michel
2
1998
Separation, factorization and finite sheaves on Nash manifolds. Zbl 0885.14029
Coste, Michel; Ruiz, Jesús M.; Shiota, Masahiro
5
1996
Approximation in compact Nash manifolds. Zbl 0873.32007
Coste, Michel; Ruiz, Jesús M.; Shiota, Masahiro
11
1995
Thom’s first isotopy lemma: A semialgebraic version, with uniform bound. Zbl 0844.14025
Coste, Michel; Shiota, Masahiro
8
1995
Nash triviality in families of Nash manifolds. Zbl 0801.14017
Coste, Michel; Shiota, Masahiro
15
1992
On the link of a stratum in a real algebraic set. Zbl 0787.14038
Coste, Michel; Kurdyka, Krzysztof
8
1992
Triviality of a family. Zbl 0801.14016
Coste, Michel; Reguiat, Miloud
5
1992
Inspiration of a real algebraic hypersurface. Zbl 0788.14051
Coste, Michel
2
1992
Real algebraic geometry. Proceedings of the conference, held in Rennes, France, June 24-28, 1991. Zbl 0756.00007
Coste, Michel (ed.); Mahé, Louis (ed.); Roy, Marie-Françoise (ed.)
2
1992
Real algebraic 1-cocycles are Nash coboundaries. Zbl 0802.14022
Coste, Michel; Diop, Mamadou Makhtar
2
1992
Unicité des triangulations semi-algébriques: Validité sur un corps réel clos quelconque, et effectivité forte. (Uniqueness of semialgebraic triangulations: Validity on any real closed field, and strong effectiveness). Zbl 0745.14021
Coste, Michel
2
1991
Sous-ensembles algébriques réels de codimension 2. (Real algebraic subsets of codimension 2). Zbl 0723.14040
Coste, Michel
1
1990
Another proof of the existence of stratifications satisfying the Verdier condition \(w\). Zbl 0787.14037
Coste, Michel; Roy, Marie-Françoise
1
1989
Thom’s lemma, the coding of real algebraic numbers and the computation of the topology of semi-algebraic sets. Zbl 0689.14006
Coste, M.; Roy, M. F.
45
1988
Géométrie algébrique réelle. (Real algebraic geometry). Zbl 0633.14016
Bochnak, J.; Coste, M.; Roy, M.-F.
444
1987
Sous-ensembles algébriques réels de codimension 1. (Real algebraic subsets of codimension 1). Zbl 0587.14013
Coste, Michel
1
1985
Normal spectral spaces and their dimensions. Zbl 0525.14015
Carral, Michel; Coste, Michel
30
1983
La topologie du spectre réel. Zbl 0485.14007
Coste, Michel; Roy, Marie-Francoise
36
1982
Ensembles semi-algébriques. Zbl 0498.14012
Coste, Michel
5
1982
Géométrie algébrique réelle et formes quadratiques. Journées Soc. Math. Fr., Université de Rennes 1, Mai 1981. Zbl 0487.00005
Colliot-Thélène, Jean-Louis (ed.); Coste, Michel (ed.); Mahé, Louis (ed.); Roy, Marie-Françoise (ed.)
1
1982
Le topos etale réel d’un anneau. Zbl 0454.18008
Coste, Michel; Coste-Roy, Marie-Francoise
1
1981
Le spectre etale réel d’un anneau est spatial. Zbl 0433.14018
Coste-Roy, Marie-Francoise; Coste, Michel
5
1980
Contribution to the study of the natural number object in elementary topoi. Zbl 0427.03056
Coste-Roy, Marie-Francoise; Coste, Michel; Mahe, Louis
1
1980
Localisation, spectra and sheaf representation. Zbl 0422.18007
Coste, Michel
14
1979
Topologies for real algebraic geometry. Zbl 0417.14002
Coste, Marie-Francoise; Coste, Michel
10
1979
The generic model of an \(\varepsilon\)-stable geometric extension of the theory of rings of line type. Zbl 0427.18008
Coste, Marie-Francoise; Coste, Michel
1
1979
all top 5

Cited by 1,058 Authors

28 Kucharz, Wojciech
25 Fernando, José F.
19 Roy, Marie-Françoise
17 Phạm Tiên So’n
17 Scheiderer, Claus
16 Kurdyka, Krzysztof
14 Lombardi, Henri
13 Gamboa Mutuberria, José Manuel
13 Nie, Jiawang
12 Parusiński, Adam
11 Marshall, Murray Angus
11 Ruiz, Jesús M.
10 Basu, Saugata
10 Edmundo, Mário J.
9 Heintz, Joos
9 Helton, John William
9 Shiota, Masahiro
9 Zahl, Joshua
9 Zeng, Guangxing
8 Bilski, Marcin
8 Ghiloni, Riccardo
8 Klep, Igor
8 Kollár, János
8 Schwartz, Niels
8 Xiao, ShuiJing
7 Blekherman, Grigoriy
7 Bochnak, Jacek
7 Broglia, Fabrizio
7 Cucker, Felipe
7 Fichou, Goulwen
7 Fischer, Andreas M.
7 Lasserre, Jean-Bernard
7 Safey El Din, Mohab
7 Valette, Guillaume
7 Wessel, Daniel
6 Acquistapace, Francesca
6 Bank, Bernd
6 Bolte, Jérôme
6 Coste, Michel
6 Dickmann, Max A.
6 Giusti, Marc
6 McCullough, Scott A.
6 Pardo, Luis Miguel
6 Perrucci, Daniel
6 Prelli, Luca
6 Rinaldi, Davide
6 Sinn, Rainer
5 Adamus, Janusz
5 Alonso García, María Emilia
5 Bürgisser, Peter
5 Dinh, Si Tiep
5 Fujita, Masato
5 Gonzalez-Vega, Laureano
5 Guo, Feng
5 Kaiser, Tobias
5 Koike, Satoshi
5 Lerario, Antonio
5 McCrory, Clint G.
5 Monnier, Jean-Philippe
5 Netzer, Tim
5 Pimienta, Carlos González
5 Plaumann, Daniel
5 Putinar, Mihai
5 Quarez, Ronan
5 Schicho, Josef
5 Sharir, Micha
5 Valette-Stasica, Anna
5 Vannieuwenhoven, Nick
5 Volčič, Jurij
5 Yengui, Ihsen
4 Aizenbud, Avraham
4 Andradas, Carlos
4 Averkov, Gennadiy
4 Benoist, Olivier
4 Gourevitch, Dmitry
4 Hà Huy Vui
4 Khimshiashvili, Giorgi
4 Knebusch, Manfred
4 Koiran, Pascal
4 Kummer, Mario Denis
4 Lickteig, Thomas
4 Lucas, François
4 Mangolte, Frédéric
4 McEnerney, James
4 Paunescu, Laurentiu
4 Pierzchała, Rafał
4 Recio, Tomas
4 Robson, Robert O.
4 Schweighofer, Markus
4 Sheffer, Adam
4 Spodzieja, Stanisław
4 Szafraniec, Zbigniew
4 Tancredi, Alessandro
4 Thom, Andreas Berthold
4 Ueno, Carlos
4 Vorob’ëv, Nikolaĭ N. jun.
4 Zhang, Xinzhen
3 Adámek, Jiří
3 Balkenborg, Dieter
3 Ballico, Edoardo
...and 958 more Authors
all top 5

Cited in 217 Serials

69 Journal of Pure and Applied Algebra
44 Journal of Symbolic Computation
37 Journal of Algebra
34 Proceedings of the American Mathematical Society
33 Annales de l’Institut Fourier
24 Mathematische Zeitschrift
24 Discrete & Computational Geometry
23 Transactions of the American Mathematical Society
21 Mathematical Programming. Series A. Series B
19 Advances in Mathematics
19 Journal of Complexity
19 Linear Algebra and its Applications
18 Mathematische Annalen
17 Annals of Pure and Applied Logic
16 Theoretical Computer Science
14 Topology and its Applications
12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
11 Manuscripta Mathematica
11 SIAM Journal on Optimization
10 Communications in Algebra
10 Journal of Mathematical Analysis and Applications
10 Journal of the European Mathematical Society (JEMS)
9 Journal of Optimization Theory and Applications
8 Mathematics of Computation
8 Inventiones Mathematicae
8 Foundations of Computational Mathematics
7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
7 Duke Mathematical Journal
7 Journal of Differential Equations
7 SIAM Journal on Matrix Analysis and Applications
7 Bulletin of the American Mathematical Society. New Series
7 SIAM Journal on Applied Algebra and Geometry
6 Israel Journal of Mathematics
6 Archiv der Mathematik
6 Cahiers de Topologie et Géométrie Différentielle Catégoriques
6 Geometriae Dedicata
6 The Journal of Symbolic Logic
6 Systems & Control Letters
6 International Journal of Mathematics
6 Journal of Algebraic Geometry
6 Selecta Mathematica. New Series
5 International Journal of Game Theory
5 Journal of Combinatorial Theory. Series A
5 Journal of Computer and System Sciences
5 Memoirs of the American Mathematical Society
5 Journal of the American Mathematical Society
5 Journal of Global Optimization
5 Games and Economic Behavior
5 Indagationes Mathematicae. New Series
5 Journal of Mathematical Sciences (New York)
5 Bulletin des Sciences Mathématiques
4 Automatica
4 Compositio Mathematica
4 Journal of Functional Analysis
4 Journal of the Mathematical Society of Japan
4 Journal für die Reine und Angewandte Mathematik
4 Mathematics and Computers in Simulation
4 SIAM Journal on Control and Optimization
4 Acta Applicandae Mathematicae
4 Revista Matemática Iberoamericana
4 Geometric and Functional Analysis. GAFA
4 Applicable Algebra in Engineering, Communication and Computing
4 Computational Optimization and Applications
4 Applied and Computational Harmonic Analysis
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Acta Mathematica Vietnamica
3 Annales Polonici Mathematici
3 Bulletin de la Société Mathématique de France
3 Illinois Journal of Mathematics
3 Journal of Computational and Applied Mathematics
3 Journal of Economic Theory
3 Journal of Econometrics
3 Michigan Mathematical Journal
3 Information and Computation
3 Expositiones Mathematicae
3 RAIRO. Informatique Théorique et Applications
3 Archive for Mathematical Logic
3 Applied Categorical Structures
3 The Bulletin of Symbolic Logic
3 Geometry & Topology
3 Revista Matemática Complutense
3 Annales Henri Poincaré
3 Qualitative Theory of Dynamical Systems
3 Advances in Geometry
3 Algebraic & Geometric Topology
3 Mathematics in Computer Science
3 SIAM Journal on Imaging Sciences
3 Science China. Mathematics
3 Journal of Singularities
3 Bollettino dell’Unione Matematica Italiana
2 Journal d’Analyse Mathématique
2 The Annals of Statistics
2 Commentarii Mathematici Helvetici
2 Publications Mathématiques
2 Journal of Mathematical Economics
2 Mathematische Nachrichten
2 Monatshefte für Mathematik
2 Proceedings of the Japan Academy. Series A
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
...and 117 more Serials
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Cited in 58 Fields

493 Algebraic geometry (14-XX)
155 Commutative algebra (13-XX)
129 Mathematical logic and foundations (03-XX)
117 Computer science (68-XX)
114 Several complex variables and analytic spaces (32-XX)
107 Field theory and polynomials (12-XX)
92 Operations research, mathematical programming (90-XX)
56 Global analysis, analysis on manifolds (58-XX)
53 Number theory (11-XX)
52 Linear and multilinear algebra; matrix theory (15-XX)
52 Manifolds and cell complexes (57-XX)
51 Numerical analysis (65-XX)
48 Real functions (26-XX)
41 Convex and discrete geometry (52-XX)
35 Algebraic topology (55-XX)
33 General topology (54-XX)
32 Calculus of variations and optimal control; optimization (49-XX)
31 Dynamical systems and ergodic theory (37-XX)
28 Systems theory; control (93-XX)
26 Combinatorics (05-XX)
26 Order, lattices, ordered algebraic structures (06-XX)
26 Category theory; homological algebra (18-XX)
26 Differential geometry (53-XX)
25 Operator theory (47-XX)
24 Functional analysis (46-XX)
24 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Topological groups, Lie groups (22-XX)
20 Associative rings and algebras (16-XX)
19 Group theory and generalizations (20-XX)
17 Ordinary differential equations (34-XX)
16 Partial differential equations (35-XX)
12 Approximations and expansions (41-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
12 Quantum theory (81-XX)
12 Information and communication theory, circuits (94-XX)
11 Integral transforms, operational calculus (44-XX)
9 Functions of a complex variable (30-XX)
9 Statistics (62-XX)
8 Mechanics of particles and systems (70-XX)
7 Geometry (51-XX)
7 Probability theory and stochastic processes (60-XX)
5 General algebraic systems (08-XX)
5 \(K\)-theory (19-XX)
5 Measure and integration (28-XX)
5 Potential theory (31-XX)
5 Biology and other natural sciences (92-XX)
4 History and biography (01-XX)
4 Abstract harmonic analysis (43-XX)
3 General and overarching topics; collections (00-XX)
3 Nonassociative rings and algebras (17-XX)
3 Fluid mechanics (76-XX)
3 Statistical mechanics, structure of matter (82-XX)
1 Difference and functional equations (39-XX)
1 Integral equations (45-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year