| Sharp estimates for the arithmetic Nullstellensatz T Krick, LM Pardo, M Sombra Duke Mathematical Journal 109 (3), 521-598., 2001 | 198 | 2001 |
| Arithmetic geometry of toric varieties. Metrics, measures, and heights JI Burgos Gil, P Philippon, M Sombra Astérisque 360, vi+222 pages, 2014 | 113* | 2014 |
| A sparse effective Nullstellensatz M Sombra Advances in Applied Mathematics 22 (2), 271-295, 1999 | 74 | 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 | 72 | 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 |
| Arithmetic positivity on toric varieties JI Burgos Gil, A Moriwaki, P Philippon, M Sombra Journal of Algebraic Geometry 25, 201-272, 2016 | 49* | 2016 |
| 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 |
| A Poisson formula for the sparse resultant C D’Andrea, M Sombra Proceedings of the London Mathematical Society 110 (4), 932-964, 2015 | 44 | 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 | 43 | 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 | 42 | 2011 |
| The Cayley-Menger determinant is irreducible for n≥ 3 C D’Andrea, M Sombra Siberian Mathematical Journal 46 (1), 71-76, 2005 | 42* | 2005 |
| Hauteur normalisée des variétés toriques projectives P Philippon, M Sombra Journal of the Institute of Mathematics of Jussieu 7 (2), 327, 2008 | 33 | 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 | 26 | 2019 |
| Factoring bivariate sparse (lacunary) polynomials M Avendano, T Krick, M Sombra Journal of Complexity 23 (2), 193-216, 2007 | 25 | 2007 |
| Successive minima of toric height functions JI Burgos Gil, P Philippon, M Sombra Annales de l'Institut Fourier 65 (5), 2145-2197, 2015 | 24 | 2015 |
| A refinement of the Bernštein–Kušnirenko estimate P Philippon, M Sombra Advances in Mathematics 218 (5), 1370-1418, 2008 | 24* | 2008 |
| Minimums successifs des variétés toriques projectives M Sombra Journal für die Reine und Angewandte Mathematik 2005 (586), 207-233, 2005 | 23 | 2005 |
| 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 |
Carlos D'AndreaProfessor Agregat, Universitat de BarcelonaVerified email at ub.edu
