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Solernó, Pablo

Co-Author Distance
Author ID: solerno.pablo Recent zbMATH articles by "Solernó, Pablo"
Published as: Solernó, Pablo; Solerno, Pablo; Solernó, P.; Solerno, P.
External Links: MGP · Math-Net.Ru · dblp
Member of Collective: Fitchas, Noaï
Documents Indexed: 41 Publications since 1989, including 1 Additional arXiv Preprint
Co-Authors: 30 Co-Authors with 38 Joint Publications
434 Co-Co-Authors
all top 5

Co-Authors

3 single-authored
19 Heintz, Joos
13 Jeronimo, Gabriela
10 D’Alfonso, Lisi
9 Krick, Teresa
9 Roy, Marie-Françoise
5 Bank, Bernd
4 Mandel, Reinhard
3 Matera, Guillermo
2 Almeida, Marcela
2 Hashemi, Amir
2 Pardo, Luis Miguel
2 Sabia, Juan
2 Slisenko, A. O.
1 Aremendáriz, Inés
1 Blanco, Cristina
1 Blaum, Manuela
1 Caniglia, Leandro
1 Cortiñas, Guillermo H.
1 Danón, Silvia
1 Giménez, Nardo
1 Giusti, Marc
1 Grigor’ev, Dmitriĭ Yur’evich
1 Lanciano, Leonardo
1 Lecerf, Grégoire
1 Massaccesi, Gustavo E.
1 Millán, Mercedes Pérez
1 Ollivier, François
1 Sedoglavic, Alexandre
1 Vorob’ëv, Nikolaĭ N. jun.
1 Waissbein, Ariel
all top 5

Serials

4 Comptes Rendus de l’Académie des Sciences. Série I
4 Applicable Algebra in Engineering, Communication and Computing
3 Journal of Symbolic Computation
3 Journal of Complexity
2 Bulletin de la Société Mathématique de France
2 Journal of Algebra
2 Advances in Applied Mathematics
2 Foundations of Computational Mathematics
1 Bulletin of Mathematical Biology
1 The Computer Journal. Section A / Section B
1 Journal of Pure and Applied Algebra
1 Mathematics and Computers in Simulation
1 Mathematische Zeitschrift
1 Discrete & Computational Geometry
1 Linear Algebra and its Applications
1 Computational Complexity
1 Journal of Mathematical Sciences (New York)
1 Publications de l’Institut de Recherche de Mathématiques de Rennes
1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
all top 5

Fields

22 Algebraic geometry (14-XX)
22 Computer science (68-XX)
13 Commutative algebra (13-XX)
10 Field theory and polynomials (12-XX)
4 Mathematical logic and foundations (03-XX)
4 Ordinary differential equations (34-XX)
4 Operations research, mathematical programming (90-XX)
2 Numerical analysis (65-XX)
1 Partial differential equations (35-XX)
1 Approximations and expansions (41-XX)
1 Convex and discrete geometry (52-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

31 Publications have been cited 231 times in 179 Documents Cited by ▼ Year ▼
On the complexity of the Tarski-Seidenberg principle. (Sur la complexité du principe de Tarski-Seidenberg.) Zbl 0767.03017
Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo
33
1990
Deformation techniques for sparse systems. Zbl 1167.14039
Jeronimo, Gabriela; Matera, Guillermo; Solernó, Pablo; Waissbein, Ariel
25
2009
Bounds of traces in complete intersections and degrees in the Nullstellensatz. Zbl 0844.14018
Sabia, Juan; Solernó, Pablo
19
1995
Effective Łojasiewicz inequalities in semialgebraic geometry. Zbl 0754.14035
Solernó, Pablo
17
1991
On the theoretical and practical complexity of the existential theory of reals. Zbl 0780.68058
Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo
14
1993
Description of the connected components of a semialgebraic set in single exponential time. Zbl 0970.68201
Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo
11
1994
Single exponential path finding in semi-algebraic sets. II: The general case. Zbl 0921.14039
Heintz, Joos; Roy, Marie-Francoise; Solerno, Pablo
11
1994
Effective differential Nullstellensatz for ordinary DAE systems with constant coefficients. Zbl 1383.12002
D’Alfonso, Lisi; Jeronimo, Gabriela; Solernó, Pablo
9
2014
Complexity of Tarski- Seidenberg’s principle. (Complexité du principe de Tarski-Seidenberg.) Zbl 0704.03013
Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo
9
1989
Degeneracy loci and polynomial equation solving. Zbl 1341.14022
Bank, Bernd; Giusti, Marc; Heintz, Joos; Lecerf, Grégoire; Matera, Guillermo; Solernó, Pablo
8
2015
On the computation of the radical of polynomial complete intersection ideals. Zbl 0896.13022
Aremendáriz, Inés; Solernó, Pablo
8
1995
Algorithmic aspects of Suslin’s proof of Serre’s conjecture. Zbl 0824.68049
Caniglia, Leandro; Cortiñas, Guillermo; Danón, Silvia; Heintz, Joos; Krick, Teresa; Solernó, Pablo
8
1993
On the complexity of the resolvent representation of some prime differential ideals. Zbl 1155.12004
D’Alfonso, Lisi; Jeronimo, Gabriela; Solernó, Pablo
8
2006
Computing generators of the ideal of a smooth affine algebraic variety. Zbl 1137.14319
Blanco, Cristina; Jeronimo, Gabriela; Solernó, Pablo
7
2005
A geometric index reduction method for implicit systems of differential algebraic equations. Zbl 1235.34030
D’Alfonso, L.; Jeronimo, G.; Ollivier, F.; Sedoglavic, A.; Solernó, P.
6
2011
On intrinsic bounds in the Nullstellensatz. Zbl 0897.13021
Krick, T.; Sabia, J.; Solernó, P.
5
1997
Single exponential path finding in semialgebraic sets. I: The case of a regular bounded hypersurface. Zbl 0764.14023
Heintz, Joos; Roy, Marie-Francoise; Solernó, Pablo
5
1991
On the index and the order of quasi-regular implicit systems of differential equations. Zbl 1172.34003
D’Alfonso, Lisi; Jeronimo, Gabriela; Massaccesi, Gustavo; Solernó, Pablo
5
2009
A linear algebra approach to the differentiation index of generic DAE systems. Zbl 1175.34004
D’Alfonso, Lisi; Jeronimo, Gabriela; Solernó, Pablo
4
2008
Counting connected components of a semi-algebraic set in single exponential time. (Comptage des composantes connexes d’un ensemble semi-algébrique en temps simplement exponentiel.) Zbl 0752.14043
Grigor’ev, Dima Yurevitch; Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo; Vorobjov, Nicolai Nicolaievitch jun.
3
1990
Lower complexity bounds for interpolation algorithms. Zbl 1277.65008
Giménez, Nardo; Heintz, Joos; Matera, Guillermo; Solernó, Pablo
2
2011
Quantitative aspects of the generalized differential Lüroth’s theorem. Zbl 1417.12002
D’Alfonso, Lisi; Jeronimo, Gabriela; Solernó, Pablo
2
2018
Effective differential Lüroth’s theorem. Zbl 1345.12006
D’Alfonso, Lisi; Jeronimo, Gabriela; Solernó, Pablo
2
2014
Intrinsic complexity for constructing zero-dimensional Gröbner bases. Zbl 1514.13027
Hashemi, Amir; Heintz, Joos; Pardo, Luis M.; Solernó, Pablo
2
2020
Description of the connected components of a semi-algebraic set in single exponential time. (Description des composantes connexes d’un ensemble semialgébrique en temps simplement exponentiel.) Zbl 0764.14024
Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo
2
1991
Identifiability from a few species for a class of biochemical reaction networks. Zbl 1417.92064
Jeronimo, Gabriela; Pérez Millán, Mercedes; Solernó, Pablo
1
2019
Search for shortest path around semialgebraic obstacles in the plane. Zbl 0835.14023
Krick, T.; Slisenko, A. O.; Solernó, Pablo; Heintz, J.
1
1991
Geometric problems solvable in single exponential time. Zbl 0756.14031
Heintz, Joos; Krick, Teresa; Roy, Marie-Françoise; Solernó, Pablo
1
1991
On the degrees of bases of free modules over a polynomial ring. Zbl 0946.13007
Almeida, Marcela; D’Alfonso, Lisi; Solernó, Pablo
1
1999
Construction of the shortest path around semialgebraic obstacles in the plane. Zbl 0761.14019
Krick, T.; Slisenko, A. O.; Solerno, P.; Heintz, J.
1
1991
Une borne géométrique pour la programmation entière à contraintes polynomiales. (A geometrical bound for integer programming with polynomial constraints). Zbl 0692.90074
Bank, Bernd; Heintz, Joos; Krick, Teresa; Mandel, Reinhard; Solernó, Pablo
1
1990
Intrinsic complexity for constructing zero-dimensional Gröbner bases. Zbl 1514.13027
Hashemi, Amir; Heintz, Joos; Pardo, Luis M.; Solernó, Pablo
2
2020
Identifiability from a few species for a class of biochemical reaction networks. Zbl 1417.92064
Jeronimo, Gabriela; Pérez Millán, Mercedes; Solernó, Pablo
1
2019
Quantitative aspects of the generalized differential Lüroth’s theorem. Zbl 1417.12002
D’Alfonso, Lisi; Jeronimo, Gabriela; Solernó, Pablo
2
2018
Degeneracy loci and polynomial equation solving. Zbl 1341.14022
Bank, Bernd; Giusti, Marc; Heintz, Joos; Lecerf, Grégoire; Matera, Guillermo; Solernó, Pablo
8
2015
Effective differential Nullstellensatz for ordinary DAE systems with constant coefficients. Zbl 1383.12002
D’Alfonso, Lisi; Jeronimo, Gabriela; Solernó, Pablo
9
2014
Effective differential Lüroth’s theorem. Zbl 1345.12006
D’Alfonso, Lisi; Jeronimo, Gabriela; Solernó, Pablo
2
2014
A geometric index reduction method for implicit systems of differential algebraic equations. Zbl 1235.34030
D’Alfonso, L.; Jeronimo, G.; Ollivier, F.; Sedoglavic, A.; Solernó, P.
6
2011
Lower complexity bounds for interpolation algorithms. Zbl 1277.65008
Giménez, Nardo; Heintz, Joos; Matera, Guillermo; Solernó, Pablo
2
2011
Deformation techniques for sparse systems. Zbl 1167.14039
Jeronimo, Gabriela; Matera, Guillermo; Solernó, Pablo; Waissbein, Ariel
25
2009
On the index and the order of quasi-regular implicit systems of differential equations. Zbl 1172.34003
D’Alfonso, Lisi; Jeronimo, Gabriela; Massaccesi, Gustavo; Solernó, Pablo
5
2009
A linear algebra approach to the differentiation index of generic DAE systems. Zbl 1175.34004
D’Alfonso, Lisi; Jeronimo, Gabriela; Solernó, Pablo
4
2008
On the complexity of the resolvent representation of some prime differential ideals. Zbl 1155.12004
D’Alfonso, Lisi; Jeronimo, Gabriela; Solernó, Pablo
8
2006
Computing generators of the ideal of a smooth affine algebraic variety. Zbl 1137.14319
Blanco, Cristina; Jeronimo, Gabriela; Solernó, Pablo
7
2005
On the degrees of bases of free modules over a polynomial ring. Zbl 0946.13007
Almeida, Marcela; D’Alfonso, Lisi; Solernó, Pablo
1
1999
On intrinsic bounds in the Nullstellensatz. Zbl 0897.13021
Krick, T.; Sabia, J.; Solernó, P.
5
1997
Bounds of traces in complete intersections and degrees in the Nullstellensatz. Zbl 0844.14018
Sabia, Juan; Solernó, Pablo
19
1995
On the computation of the radical of polynomial complete intersection ideals. Zbl 0896.13022
Aremendáriz, Inés; Solernó, Pablo
8
1995
Description of the connected components of a semialgebraic set in single exponential time. Zbl 0970.68201
Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo
11
1994
Single exponential path finding in semi-algebraic sets. II: The general case. Zbl 0921.14039
Heintz, Joos; Roy, Marie-Francoise; Solerno, Pablo
11
1994
On the theoretical and practical complexity of the existential theory of reals. Zbl 0780.68058
Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo
14
1993
Algorithmic aspects of Suslin’s proof of Serre’s conjecture. Zbl 0824.68049
Caniglia, Leandro; Cortiñas, Guillermo; Danón, Silvia; Heintz, Joos; Krick, Teresa; Solernó, Pablo
8
1993
Effective Łojasiewicz inequalities in semialgebraic geometry. Zbl 0754.14035
Solernó, Pablo
17
1991
Single exponential path finding in semialgebraic sets. I: The case of a regular bounded hypersurface. Zbl 0764.14023
Heintz, Joos; Roy, Marie-Francoise; Solernó, Pablo
5
1991
Description of the connected components of a semi-algebraic set in single exponential time. (Description des composantes connexes d’un ensemble semialgébrique en temps simplement exponentiel.) Zbl 0764.14024
Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo
2
1991
Search for shortest path around semialgebraic obstacles in the plane. Zbl 0835.14023
Krick, T.; Slisenko, A. O.; Solernó, Pablo; Heintz, J.
1
1991
Geometric problems solvable in single exponential time. Zbl 0756.14031
Heintz, Joos; Krick, Teresa; Roy, Marie-Françoise; Solernó, Pablo
1
1991
Construction of the shortest path around semialgebraic obstacles in the plane. Zbl 0761.14019
Krick, T.; Slisenko, A. O.; Solerno, P.; Heintz, J.
1
1991
On the complexity of the Tarski-Seidenberg principle. (Sur la complexité du principe de Tarski-Seidenberg.) Zbl 0767.03017
Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo
33
1990
Counting connected components of a semi-algebraic set in single exponential time. (Comptage des composantes connexes d’un ensemble semi-algébrique en temps simplement exponentiel.) Zbl 0752.14043
Grigor’ev, Dima Yurevitch; Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo; Vorobjov, Nicolai Nicolaievitch jun.
3
1990
Une borne géométrique pour la programmation entière à contraintes polynomiales. (A geometrical bound for integer programming with polynomial constraints). Zbl 0692.90074
Bank, Bernd; Heintz, Joos; Krick, Teresa; Mandel, Reinhard; Solernó, Pablo
1
1990
Complexity of Tarski- Seidenberg’s principle. (Complexité du principe de Tarski-Seidenberg.) Zbl 0704.03013
Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo
9
1989
all cited Publications top 5 cited Publications
all top 5

Cited by 214 Authors

19 Jeronimo, Gabriela
17 Safey El Din, Mohab
16 Heintz, Joos
16 Solernó, Pablo
11 Pardo, Luis Miguel
10 Roy, Marie-Françoise
9 Cucker, Felipe
9 Giusti, Marc
9 Schost, Éric
8 Bank, Bernd
7 Basu, Saugata
7 D’Alfonso, Lisi
7 Sabia, Juan
7 Vorob’ëv, Nikolaĭ N. jun.
5 Grigor’ev, Dmitriĭ Yur’evich
5 Matera, Guillermo
5 Naldi, Simone
5 Ovchinnikov, Alexey Igorevich
5 Szántó, Ágnes
5 Verschelde, Jan
4 D’Andrea, Carlos
4 Gustavson, Richard
4 Mourrain, Bernard
4 Pogudin, Gleb A.
4 Sombra, Martín
4 Vu, Thi Xuan
3 Bürgisser, Peter
3 Dinh, Si Tiep
3 Faugère, Jean-Charles
3 Hashemi, Amir
3 Hauenstein, Jonathan D.
3 Herrero, María Isabel
3 Krick, Teresa
3 Labahn, George
3 Lecerf, Grégoire
3 León Sánchez, Omar
3 Li, Wei
3 Montaña, José Luis
3 Ollivier, François
3 Osińska-Ulrych, Beata
3 Perrucci, Daniel
3 Phạm Tiên So’n
3 Pollack, Richard M.
3 Rouillier, Fabrice
3 Skalski, Grzegorz
3 Spodzieja, Stanisław
3 Zhi, Lihong
2 Bliss, Nathan
2 Freitag, James
2 Henrion, Didier
2 Kondrat’eva, Marina Vladimirovna
2 Laubenbacher, Reinhard C.
2 Lombardi, Henri
2 Morais, Jose Enrique
2 Moroz, Guillaume
2 Paredes, Andrés Rojas
2 Riener, Cordian
2 Risler, Jean-Jacques
2 Rónyai, Lajos
2 Spaenlehauer, Pierre-Jean
2 Szlachcińska, Anna
2 Waissbein, Ariel
2 Xia, Bican
2 Yakovenko, Sergei
2 Yang, Zhihong
2 Yengui, Ihsen
1 Ábrahám, Erika
1 Adrovic, Danko
1 Aldaz, Mikel
1 Almeida, Marcela
1 Aubry, Philippe
1 Avendano, Martin
1 Ayyildiz Akoglu, Tulay
1 Balch Barth, Viktor
1 Benedikt, Michael A.
1 Binyamini, Gal
1 Blanco, Cristina
1 Blaum, Manuela
1 Bleile, Beatrice
1 Burago, Dmitri
1 Canny, John F.
1 Cantone, Domenico
1 Cattani, Eduardo H.
1 Chapuis, Olivier
1 Chazelle, Bernard
1 Chen, Changbo
1 Cheung, Dennis
1 Choe, Young-Bin
1 Cid-Ruiz, Yairon
1 Cincotti, Gianluca
1 Cluzeau, Thomas
1 Cohen, Alex
1 Cortadellas Benítez, Teresa
1 Corzilius, Florian
1 Dahan, Xavier
1 De Leo, Mariano Fernando
1 De Loera, Jesús A.
1 Dickenstein, Alicia M.
1 Dratman, Ezequiel
1 Durvye, Clémence
...and 114 more Authors
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Cited in 51 Serials

35 Journal of Symbolic Computation
20 Journal of Complexity
9 Journal of Pure and Applied Algebra
8 Discrete & Computational Geometry
8 Applicable Algebra in Engineering, Communication and Computing
8 Foundations of Computational Mathematics
7 Journal of Algebra
5 Theoretical Computer Science
4 Advances in Applied Mathematics
3 Advances in Mathematics
3 Annales de l’Institut Fourier
3 Linear Algebra and its Applications
2 Bulletin de la Société Mathématique de France
2 Duke Mathematical Journal
2 Journal of the American Mathematical Society
2 International Journal of Mathematics
2 Bulletin des Sciences Mathématiques
2 Journal of Systems Science and Complexity
1 Information Processing Letters
1 Journal of Mathematical Analysis and Applications
1 Mathematics of Computation
1 Beiträge zur Algebra und Geometrie
1 Journal of Computational and Applied Mathematics
1 Journal of Computer and System Sciences
1 Journal of the Mathematical Society of Japan
1 Kybernetika
1 Mathematics and Computers in Simulation
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Acta Applicandae Mathematicae
1 Annals of Pure and Applied Logic
1 Computer Aided Geometric Design
1 Revista Matemática Iberoamericana
1 Information and Computation
1 Random Structures & Algorithms
1 Expositiones Mathematicae
1 Acta Mathematica Sinica. New Series
1 SIAM Journal on Optimization
1 Computational Complexity
1 SIAM Journal on Scientific Computing
1 Journal of Mathematical Sciences (New York)
1 Selecta Mathematica. New Series
1 Theory of Computing Systems
1 Journal of the European Mathematical Society (JEMS)
1 Journal of Dynamical and Control Systems
1 Communications in Contemporary Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Algebra and its Applications
1 The Journal of Software for Algebra and Geometry
1 Forum of Mathematics, Sigma
1 Foundations of Data Science
all top 5

Cited in 29 Fields

103 Computer science (68-XX)
88 Algebraic geometry (14-XX)
55 Commutative algebra (13-XX)
37 Field theory and polynomials (12-XX)
31 Numerical analysis (65-XX)
17 Mathematical logic and foundations (03-XX)
13 Operations research, mathematical programming (90-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Ordinary differential equations (34-XX)
4 Real functions (26-XX)
3 Combinatorics (05-XX)
3 Number theory (11-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Partial differential equations (35-XX)
3 Convex and discrete geometry (52-XX)
2 \(K\)-theory (19-XX)
2 Group theory and generalizations (20-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Approximations and expansions (41-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Algebraic topology (55-XX)
1 Integral transforms, operational calculus (44-XX)
1 Functional analysis (46-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

Citations by Year