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Sombra, Martín

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Author ID: sombra.martin Recent zbMATH articles by "Sombra, Martín"
Published as: Sombra, M.; Sombra, Martín
Documents Indexed: 39 Publications since 1997, including 1 Book

Publications by Year

Citations contained in zbMATH Open

31 Publications have been cited 263 times in 191 Documents Cited by Year
Sharp estimates for the arithmetic Nullstellensatz. Zbl 1010.11035
Krick, Teresa; Pardo, Luis Miguel; Sombra, Martín
49
2001
The computational complexity of the Chow form. Zbl 1058.14075
Jeronimo, Gabriela; Krick, Teresa; Sabia, Juan; Sombra, Martín
25
2004
Arithmetic geometry of toric varieties. Metrics, measures and heights. Zbl 1311.14050
Burgos Gil, José Ignacio; Philippon, Patrice; Sombra, Martín
22
2014
A sparse effective Nullstellensatz. Zbl 0933.14001
Sombra, Martín
21
1999
Heights of varieties in multiprojective spaces and arithmetic nullstellensätze. Zbl 1354.14038
D’Andrea, Carlos; Krick, Teresa; Sombra, Martín
17
2013
On the intrinsic complexity of the arithmetic Nullstellensatz. Zbl 0971.14042
Hägele, K.; Morais, J. E.; Pardo, Luis M.; Sombra, M.
13
2000
Factoring bivariate sparse (lacunary) polynomials. Zbl 1170.12004
Avendaño, Martín; Krick, Teresa; Sombra, Martín
12
2007
Bounds for the Hilbert function of polynomial ideals and for the degrees in the Nullstellensatz. Zbl 0928.14002
Sombra, Martín
12
1997
Normalized height of projective toric varieties. Zbl 1147.11033
Philippon, Patrice; Sombra, Martín
10
2008
Arithmetic positivity on toric varieties. Zbl 1378.14048
Burgos Gil, José Ignacio; Moriwaki, Atsushi; Philippon, Patrice; Sombra, Martín
8
2016
Polynomial partitioning on varieties of codimension two and point-hypersurface incidences in four dimensions. Zbl 1332.13017
Basu, Saugata; Sombra, Martín
8
2016
A refinement of the Bernštein-Kušnirenko estimate. Zbl 1155.14037
Philippon, Patrice; Sombra, Martín
8
2008
A Poisson formula for the sparse resultant. Zbl 1349.14160
D’Andrea, Carlos; Sombra, Martín
7
2015
When do the recession cones of a polyhedral complex form a fan? Zbl 1233.14031
Burgos Gil, José Ignacio; Sombra, Martín
7
2011
The Cayley–Menger determinant is irreducible for \(n\geq 3\). Zbl 1081.52007
D’Andrea, Carlos; Sombra, Martín
6
2005
The height of the mixed sparse resultant. Zbl 1070.11010
Sombra, Martín
5
2004
Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems. Zbl 1403.37101
D’Andrea, Carlos; Ostafe, Alina; Shparlinski, Igor E.; Sombra, Martín
4
2019
Successive minima of toric height functions. Zbl 1369.14034
Burgos Gil, José Ignacio; Philippon, Patrice; Sombra, Martín
4
2015
The Newton polygon of a rational plane curve. Zbl 1205.14039
D’Andrea, Carlos; Sombra, Martín
4
2010
Some diophantine aspects of projective toric varieties. Zbl 1153.11029
Philippon, Patrice; Sombra, Martín
4
2008
Orbits of polynomial dynamical systems modulo primes. Zbl 1416.37081
Chang, Mei-Chu; D’Andrea, Carlos; Ostafe, Alina; Shparlinski, Igor E.; Sombra, Martín
3
2018
Successive minima of projective toric varieties. Zbl 1080.14060
Sombra, Martín
3
2005
Overdetermined systems of sparse polynomial equations. Zbl 1310.11119
Amoroso, Francesco; Leroux, Louis; Sombra, Martín
2
2015
Quantitative equidistribution for the solutions of systems of sparse polynomial equations. Zbl 1316.30002
D’Andrea, Carlos; Galligo, André; Sombra, Martín
2
2014
Unlikely intersections and multiple roots of sparse polynomials. Zbl 1440.11028
Amoroso, Francesco; Sombra, Martín; Zannier, Umberto
1
2017
Height of varieties over finitely generated fields. Zbl 1358.14021
Gil, José Ignacio Burgos; Philippon, Patrice; Sombra, Martín
1
2016
Rational parametrizations, intersection theory, and Newton polytopes. Zbl 1181.14063
D’Andrea, Carlos; Sombra, Martín
1
2010
Height of toric subschemes and Legendre-Fenchel duality. Zbl 1171.14016
Gil, José Ignacio Burgos; Philippon, Patrice; Sombra, Martín
1
2009
Essential minimum and obstruction degrees of subtorus translations. Zbl 1230.11085
Philippon, Patrice; Sombra, Martín
1
2008
Une nouvelle majoration pour le nombre de solutions d’un système d’équations polynomiales. Zbl 1128.14039
Philippon, Patrice; Sombra, Martín
1
2007
Diophantine geometry and toric varieties. Zbl 1110.14024
Philippon, Patrice; Sombra, Martín
1
2005
Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems. Zbl 1403.37101
D’Andrea, Carlos; Ostafe, Alina; Shparlinski, Igor E.; Sombra, Martín
4
2019
Orbits of polynomial dynamical systems modulo primes. Zbl 1416.37081
Chang, Mei-Chu; D’Andrea, Carlos; Ostafe, Alina; Shparlinski, Igor E.; Sombra, Martín
3
2018
Unlikely intersections and multiple roots of sparse polynomials. Zbl 1440.11028
Amoroso, Francesco; Sombra, Martín; Zannier, Umberto
1
2017
Arithmetic positivity on toric varieties. Zbl 1378.14048
Burgos Gil, José Ignacio; Moriwaki, Atsushi; Philippon, Patrice; Sombra, Martín
8
2016
Polynomial partitioning on varieties of codimension two and point-hypersurface incidences in four dimensions. Zbl 1332.13017
Basu, Saugata; Sombra, Martín
8
2016
Height of varieties over finitely generated fields. Zbl 1358.14021
Gil, José Ignacio Burgos; Philippon, Patrice; Sombra, Martín
1
2016
A Poisson formula for the sparse resultant. Zbl 1349.14160
D’Andrea, Carlos; Sombra, Martín
7
2015
Successive minima of toric height functions. Zbl 1369.14034
Burgos Gil, José Ignacio; Philippon, Patrice; Sombra, Martín
4
2015
Overdetermined systems of sparse polynomial equations. Zbl 1310.11119
Amoroso, Francesco; Leroux, Louis; Sombra, Martín
2
2015
Arithmetic geometry of toric varieties. Metrics, measures and heights. Zbl 1311.14050
Burgos Gil, José Ignacio; Philippon, Patrice; Sombra, Martín
22
2014
Quantitative equidistribution for the solutions of systems of sparse polynomial equations. Zbl 1316.30002
D’Andrea, Carlos; Galligo, André; Sombra, Martín
2
2014
Heights of varieties in multiprojective spaces and arithmetic nullstellensätze. Zbl 1354.14038
D’Andrea, Carlos; Krick, Teresa; Sombra, Martín
17
2013
When do the recession cones of a polyhedral complex form a fan? Zbl 1233.14031
Burgos Gil, José Ignacio; Sombra, Martín
7
2011
The Newton polygon of a rational plane curve. Zbl 1205.14039
D’Andrea, Carlos; Sombra, Martín
4
2010
Rational parametrizations, intersection theory, and Newton polytopes. Zbl 1181.14063
D’Andrea, Carlos; Sombra, Martín
1
2010
Height of toric subschemes and Legendre-Fenchel duality. Zbl 1171.14016
Gil, José Ignacio Burgos; Philippon, Patrice; Sombra, Martín
1
2009
Normalized height of projective toric varieties. Zbl 1147.11033
Philippon, Patrice; Sombra, Martín
10
2008
A refinement of the Bernštein-Kušnirenko estimate. Zbl 1155.14037
Philippon, Patrice; Sombra, Martín
8
2008
Some diophantine aspects of projective toric varieties. Zbl 1153.11029
Philippon, Patrice; Sombra, Martín
4
2008
Essential minimum and obstruction degrees of subtorus translations. Zbl 1230.11085
Philippon, Patrice; Sombra, Martín
1
2008
Factoring bivariate sparse (lacunary) polynomials. Zbl 1170.12004
Avendaño, Martín; Krick, Teresa; Sombra, Martín
12
2007
Une nouvelle majoration pour le nombre de solutions d’un système d’équations polynomiales. Zbl 1128.14039
Philippon, Patrice; Sombra, Martín
1
2007
The Cayley–Menger determinant is irreducible for \(n\geq 3\). Zbl 1081.52007
D’Andrea, Carlos; Sombra, Martín
6
2005
Successive minima of projective toric varieties. Zbl 1080.14060
Sombra, Martín
3
2005
Diophantine geometry and toric varieties. Zbl 1110.14024
Philippon, Patrice; Sombra, Martín
1
2005
The computational complexity of the Chow form. Zbl 1058.14075
Jeronimo, Gabriela; Krick, Teresa; Sabia, Juan; Sombra, Martín
25
2004
The height of the mixed sparse resultant. Zbl 1070.11010
Sombra, Martín
5
2004
Sharp estimates for the arithmetic Nullstellensatz. Zbl 1010.11035
Krick, Teresa; Pardo, Luis Miguel; Sombra, Martín
49
2001
On the intrinsic complexity of the arithmetic Nullstellensatz. Zbl 0971.14042
Hägele, K.; Morais, J. E.; Pardo, Luis M.; Sombra, M.
13
2000
A sparse effective Nullstellensatz. Zbl 0933.14001
Sombra, Martín
21
1999
Bounds for the Hilbert function of polynomial ideals and for the degrees in the Nullstellensatz. Zbl 0928.14002
Sombra, Martín
12
1997
all top 5

Cited by 238 Authors

19 Sombra, Martín
12 Jeronimo, Gabriela
11 D’Andrea, Carlos
9 Sabia, Juan
8 Shparlinski, Igor E.
7 Li, Wei
7 Philippon, Patrice
6 Pardo, Luis Miguel
5 Burgos Gil, José Ignacio
5 Chen, Huayi
5 Herrero, María Isabel
5 Lecerf, Grégoire
5 Schost, Éric
5 Weimann, Martin
4 Boucksom, Sébastien
4 Gubler, Walter Bruno
4 Matera, Guillermo
4 Solernó, Pablo
3 Amoroso, Francesco
3 Avendano, Martin
3 Basu, Saugata
3 Busé, Laurent
3 Chang, Mei-Chu
3 Emiris, Ioannis Z.
3 Favre, Charles
3 Gao, Xiaoshan
3 Jonsson, Mattias
3 Krick, Teresa
3 Moriwaki, Atsushi
3 Mourrain, Bernard
3 Ostafe, Alina
3 Sharir, Micha
3 Sheffer, Adam
3 Szántó, Ágnes
3 Tsigaridas, Elias P.
3 Wulcan, Elizabeth
3 Yuan, Chunming
3 Zannier, Umberto M.
2 Castro, Douglas A.
2 Dahan, Xavier
2 D’Alfonso, Lisi
2 Durvye, Clémence
2 Giménez, Nardo
2 Grenet, Bruno
2 Hajli, Mounir
2 Hashemi, Amir
2 Heintz, Joos
2 Jelonek, Zbigniew
2 Katz, Eric
2 Konaxis, Christos
2 Kondrat’eva, Marina Vladimirovna
2 Künnemann, Klaus
2 Li, Yinghong
2 Martin, Florent
2 Ovchinnikov, Alexey Igorevich
2 Richardson, Daniel C.
2 Rojas, J. Maurice
2 Safey El Din, Mohab
2 Salvy, Bruno
2 San Martín, Jorge Alonso
2 Solomon, Noam
2 Waissbein, Ariel
2 Zahl, Joshua
1 Abramovich, Dan
1 Adiprasito, Karim Alexander
1 Aldaz, Mikel
1 Almeida, Marcela
1 Andersson, Mats
1 Andersson, Mats Erik
1 Armentano, Diego
1 Aschenbrenner, Matthias
1 Ayyildiz Akoglu, Tulay
1 Ba, Thang Luu
1 Babaee, Farhad
1 Barone, Sal
1 Benedetto, Robert L.
1 Berthomieu, Jérémy
1 Bi, Jingguo
1 Bilu, Yuri F.
1 Binaei, Bentolhoda
1 Blanco, Cristina
1 Blaum, Manuela
1 Botbol, Nicolás
1 Botero, Ana María
1 C., Juan D. Vélez
1 Cafure, Antonio
1 Chardin, Marc
1 Chattopadhyay, Arkadev
1 Chen, Jingwei
1 Chen, Qile
1 Cheng, Qi
1 Chèze, Guillaume
1 Chistov, Alexandre L.
1 Conca, Aldo
1 Cucker, Felipe
1 David, Sinnou
1 Dias, Thiago F. O.
1 Dickenstein, Alicia M.
1 Dill, Gabriel A.
1 Dvir, Zeev
...and 138 more Authors
all top 5

Cited in 73 Serials

23 Journal of Symbolic Computation
15 Journal of Complexity
7 Journal of Algebra
7 Foundations of Computational Mathematics
6 Discrete & Computational Geometry
5 Advances in Mathematics
5 Journal of Pure and Applied Algebra
5 Mathematische Annalen
5 Mathematische Zeitschrift
5 Proceedings of the American Mathematical Society
5 Theoretical Computer Science
4 Communications in Algebra
4 Applicable Algebra in Engineering, Communication and Computing
3 Mathematics of Computation
3 Inventiones Mathematicae
3 Journal für die Reine und Angewandte Mathematik
3 Transactions of the American Mathematical Society
3 Advances in Applied Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Beiträge zur Algebra und Geometrie
2 Acta Arithmetica
2 Annales de l’Institut Fourier
2 Compositio Mathematica
2 Journal of Number Theory
2 Proceedings of the London Mathematical Society. Third Series
2 Journal of the American Mathematical Society
2 Expositiones Mathematicae
2 Journal of Algebraic Geometry
2 Journal de Théorie des Nombres de Bordeaux
2 Journal of the European Mathematical Society (JEMS)
2 Mathematics in Computer Science
2 Algebra & Number Theory
2 Journal of Commutative Algebra
2 Science China. Mathematics
2 Kyoto Journal of Mathematics
2 Journal de l’École Polytechnique – Mathématiques
1 Bulletin of the Australian Mathematical Society
1 Discrete Applied Mathematics
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Functiones et Approximatio. Commentarii Mathematici
1 Glasgow Mathematical Journal
1 Journal of Combinatorial Theory. Series A
1 Journal of Geometry
1 Journal of the London Mathematical Society. Second Series
1 Le Matematiche
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Pacific Journal of Mathematics
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 SIAM Journal on Computing
1 Algorithmica
1 Revista Matemática Iberoamericana
1 SIAM Journal on Matrix Analysis and Applications
1 Numerical Algorithms
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Russian Mathematics
1 Computational Complexity
1 Experimental Mathematics
1 Combinatorics, Probability and Computing
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Finite Fields and their Applications
1 Documenta Mathematica
1 Journal of Systems Science and Complexity
1 International Journal of Number Theory
1 Complex Analysis and Operator Theory
1 Research in the Mathematical Sciences
1 Open Mathematics
1 SIAM Journal on Applied Algebra and Geometry
1 Algebraic Combinatorics

Citations by Year