Sharp estimates for the arithmetic Nullstellensatz T Krick, LM Pardo, M Sombra Duke Mathematical Journal 109 (3), 521-598., 2001 | 196 | 2001 |
Arithmetic geometry of toric varieties. Metrics, measures, and heights JI Burgos Gil, P Philippon, M Sombra Astérisque 360, vi+222 pages, 2014 | 110* | 2014 |
A sparse effective Nullstellensatz M Sombra Advances in Applied Mathematics 22 (2), 271-295, 1999 | 72 | 1999 |
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 | 70 | 2013 |
The computational complexity of the Chow form G Jeronimo, T Krick, J Sabia, M Sombra Foundations of Computational Mathematics 4, 41-117, 2004 | 65 | 2004 |
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 | 50 | 2000 |
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 | 46 | 1997 |
Arithmetic positivity on toric varieties JI Burgos Gil, A Moriwaki, P Philippon, M Sombra Journal of Algebraic Geometry 25, 201-272, 2016 | 45* | 2016 |
A Poisson formula for the sparse resultant C D’Andrea, M Sombra Proceedings of the London Mathematical Society 110 (4), 932-964, 2015 | 43 | 2015 |
Polynomial partitioning on varieties of codimension two and point-hypersurface incidences in four dimensions S Basu, M Sombra Discrete & Computational Geometry 55, 158-184, 2016 | 42 | 2016 |
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 | 41 | 2011 |
The Cayley-Menger determinant is irreducible for n≥ 3 C D’Andrea, M Sombra Siberian Mathematical Journal 46 (1), 71-76, 2005 | 41* | 2005 |
Hauteur normalisée des variétés toriques projectives P Philippon, M Sombra Journal of the Institute of Mathematics of Jussieu 7 (2), 327, 2008 | 32 | 2008 |
The height of the mixed sparse resultant M Sombra American Journal of Mathematics 126 (6), 1253-1260, 2004 | 30 | 2004 |
The distribution of Galois orbits of points of small height in toric varieties JIB Gil, P Philippon, J Rivera-Letelier, M Sombra American Journal of Mathematics 141 (2), 309-381, 2019 | 25 | 2019 |
Factoring bivariate sparse (lacunary) polynomials M Avendano, T Krick, M Sombra Journal of Complexity 23 (2), 193-216, 2007 | 25 | 2007 |
A refinement of the Bernštein–Kušnirenko estimate P Philippon, M Sombra Advances in Mathematics 218 (5), 1370-1418, 2008 | 24* | 2008 |
Continuity of plurisubharmonic envelopes in non-Archimedean geometry and test ideals (with an appendix by José Ignacio Burgos Gil and Martín Sombra) W Gubler, P Jell, K Künnemann, F Martin Annales de l'Institut Fourier 69 (5), 2331-2376, 2019 | 22 | 2019 |
Successive minima of toric height functions JI Burgos Gil, P Philippon, M Sombra Annales de l'Institut Fourier 65 (5), 2145-2197, 2015 | 22 | 2015 |
The Newton polygon of a rational plane curve C D’Andrea, M Sombra Mathematics in Computer Science 4 (1), 3-24, 2010 | 21* | 2010 |