Martin Sombra
Martin Sombra
ICREA Research Professor at the University of Barcelona
Verified email at ub.edu - Homepage
Title
Cited by
Cited by
Year
Sharp estimates for the arithmetic Nullstellensatz
T Krick, LM Pardo, M Sombra
Duke Mathematical Journal 109 (3), 521-598., 2001
1842001
Arithmetic geometry of toric varieties. Metrics, measures, and heights
JI Burgos Gil, P Philippon, M Sombra
Astérisque 360, vi+222 pages, 2014
72*2014
Heights of varieties in multiprojective spaces and arithmetic Nullstellensatze
C D'Andrea, T Krick, M Sombra
Annales Scientifiques de l'Ecole Normale Superieure 46 (4), 549-627, 2013
612013
A sparse effective Nullstellensatz
M Sombra
Advances in Applied Mathematics 22 (2), 271-295, 1999
611999
The computational complexity of the Chow form
G Jeronimo, T Krick, J Sabia, M Sombra
Foundations of Computational Mathematics 4 (1), 41-117, 2004
562004
On the intrinsic complexity of the arithmetic Nullstellensatz
K Hägele, JE Morais, LM Pardo, M Sombra
Journal of Pure and Applied Algebra 146 (2), 103-183, 2000
492000
Bounds for the Hilbert function of polynomial ideals and for the degrees in the Nullstellensatz
M Sombra
Journal of Pure and Applied Algebra 117, 565-599, 1997
421997
Polynomial partitioning on varieties of codimension two and point-hypersurface incidences in four dimensions
S Basu, M Sombra
Discrete & Computational Geometry 55 (1), 158-184, 2016
352016
Hauteur normalisée des variétés toriques projectives
P Philippon, M Sombra
Journal of the Institute of Mathematics of Jussieu 7 (2), 327, 2008
322008
The Cayley-Menger determinant is irreducible for n≥ 3
C D’Andrea, M Sombra
Siberian Mathematical Journal 46 (1), 71-76, 2005
31*2005
Arithmetic positivity on toric varieties
JI Burgos Gil, A Moriwaki, P Philippon, M Sombra
Journal of Algebraic Geometry 25, 201-272, 2016
28*2016
A Poisson formula for the sparse resultant
C D’Andrea, M Sombra
Proceedings of the London Mathematical Society 110 (4), 932-964, 2015
282015
The height of the mixed sparse resultant
M Sombra
American Journal of Mathematics 126 (6), 1253-1260, 2004
282004
When do the recession cones of a polyhedral complex form a fan?
JI Burgos Gil, M Sombra
Discrete & Computational Geometry 46 (4), 789-798, 2011
262011
Factoring bivariate sparse (lacunary) polynomials
M Avendano, T Krick, M Sombra
Journal of Complexity 23 (2), 193-216, 2007
232007
Minimums successifs des variétés toriques projectives
M Sombra
Journal fur die Reine und Angewandte Mathematik 586, 207, 2005
232005
A refinement of the Bernštein–Kušnirenko estimate
P Philippon, M Sombra
Advances in Mathematics 218 (5), 1370-1418, 2008
22*2008
Estimaciones para el teorema de ceros de Hilbert
M Sombra
PhD Thesis, Universidad de Buenos Aires, Argentina, 1998
201998
Reduction modulo primes of systems of polynomial equations and algebraic dynamical systems
C D’Andrea, A Ostafe, I Shparlinski, M Sombra
Transactions of the American Mathematical Society 371, 1169-1198, 2019
19*2019
The Newton polygon of a rational plane curve
C D’Andrea, M Sombra
Mathematics in Computer Science 4 (1), 3-24, 2010
19*2010
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