M. Sombra

发表

On the intrinsic complexity of the arithmetic Nullstellensatz

J. E. Morais, L. M. Pardo, K. Hägele, 2000 .

Sharp estimates for the arithmetic Nullstellensatz

Teresa Krick, Luis Miguel Pardo, L. M. Pardo, 1999, math/9911094.

A refinement of the Kushnirenko-Bernstein estimate

Patrice Philippon, M. Sombra, Martin Sombra, 2007 .

Bounds for Multivariate Residues and for the Polynomials in the Elimination Theorem

A. Yger, M. Sombra, 2017, 1702.05987.

The Canny-Emiris conjecture for the sparse resultant pdf

Carlos D'Andrea, Gabriela Jeronimo, Martin Sombra, 2020, Foundations of Computational Mathematics.

Heights of varieties and arithmetic Nullstellensätze

Carlos D'Andrea, Teresa Krick, Martín Sombra, 2010 .

Reductions Modulo Primes of Systems of Polynomial Equations and Algebraic Dynamical Systems

C. D'Andrea, I. Shparlinski, Alina Ostafe, 2015, 1505.05814.

Modular Reduction of Systems of Polynomial Equations and Algebraic Dynamical Systems

C. D'Andrea, I. Shparlinski, Alina Ostafe, 2015 .

On the intrinsic complexity of the arithmetic

J. E. Morais, L. M. Pardo, M. Sombra, 2019 .

The Canny–Emiris Conjecture for the Sparse Resultant

C. D'Andrea, M. Sombra, Gabriela Jeronimo, 2020, Foundations of Computational Mathematics.

Factoring bivariate sparse (lacunary) polynomials

M. Sombra, T. Krick, Martin E. Avendano, 2006, J. Complex..

Normalized height of projective toric varieties

M. Sombra, Patrice Philippon, 2004, math/0406476.

Orbits of polynomial dynamical systems modulo primes

C. D'Andrea, I. Shparlinski, Alina Ostafe, 2017, 1702.01976.

ORBITS LENGTHS OF MODULAR REDUCTIONS OF PAIRS OF POLYNOMIAL DYNAMICAL SYSTEMS

C. D'Andrea, I. Shparlinski, Alina Ostafe, 2016 .

Bounds for the Hubert function of polynomial ideals and for the degrees in the Nullstellensatz

M. Sombra, 1996, alg-geom/9610006.

Arithmetic Geometry of Toric Varieties. Metrics, Measures and Heights

M. Sombra, Patrice Philippon, J. B. Gil, 2011, Astérisque.

Essential minimum and obstruction degrees of translates of subtori

M. Sombra, Patrice Philippon, 2006, math/0610405.

The geometry of the flex locus of a hypersurface

C. D'Andrea, M. Sombra, Laurent Bus'e, 2018, Pacific Journal of Mathematics.

An arithmetic Bernštein–Kušnirenko inequality

M. Sombra, César Martínez, 2018, Mathematische Zeitschrift.

AN ARITHMETIC BERNTEIN-KUNIRENKO INEQUALITY

M. Sombra, César Martínez, 2018 .

Heights of varieties in multiprojective spaces and arithmetic Nullstellensatze

Carlos D'Andrea, Teresa Krick, C. D'Andrea, 2011, 1103.4561.

The height of the mixed sparse resultant

M. Sombra, 2002, math/0211449.

Overdetermined Systems of Sparse Polynomial Equations

Francesco Amoroso, Martín Sombra, Louis Leroux, 2013, Found. Comput. Math..

The Cayley-Menger determinant is irreducible for n ≥ 3

C. D'Andrea, M. Sombra, C. D’Andrea, 2005 .

A note on the determinant 308 in Proskuryakov's linear algebra book

M. Sombra, A. J. Scala, 2022, 2201.13225.

Factorization of bivariate sparse polynomials

Francesco Amoroso, Mart'in Sombra, M. Sombra, 2017, Acta Arithmetica.

Polynomial Partitioning on Varieties of Codimension Two and Point-Hypersurface Incidences in Four Dimensions

S. Basu, M. Sombra, 2015, Discrete & Computational Geometry.

Polynomial Partitioning on Varieties of Codimension Two and Point-Hypersurface Incidences in Four Dimensions

Saugata Basu, Martín Sombra, S. Basu, 2014, Discret. Comput. Geom..

A Poisson formula for the sparse resultant

Carlos D'Andrea, C. D'Andrea, M. Sombra, 2013, 1310.6617.

The Computational Complexity of the Chow Form

Teresa Krick, Juan Sabia, Gabriela Jeronimo, 2002, Found. Comput. Math..

Successive minima of toric height functions

M. Sombra, Patrice Philippon, J. B. Gil, 2014, 1403.4048.

Quantitative equidistribution of Galois orbits of small points in the N-dimensional torus

C. D'Andrea, M. Sombra, Marta Narv'aez-Clauss, 2016, 1606.04299.

The distribution of Galois orbits of points of small height in toric varieties

M. Sombra, Patrice Philippon, J. B. Gil, 2015, American Journal of Mathematics.

Arithmetic positivity on toric varieties

M. Sombra, Patrice Philippon, J. B. Gil, 2012, 1210.7692.

Height of varieties over finitely generated fields

M. Sombra, Patrice Philippon, J. B. Gil, 2014, 1408.3222.

MINIMUM ESSENTIEL ET DEGR´ ES D'OBSTRUCTION DES TRANSLAT ´ ES DE SOUS-TORES par

M. Sombra, P. Philippon, 2006 .

The Newton Polygon of a Rational Plane Curve

Carlos D'Andrea, Martín Sombra, C. D'Andrea, 2007, Math. Comput. Sci..

Factorization of bivariate sparse polynomials, and a toric analogue of Bertini's theorem

M. Sombra, F. Amoroso, 2017 .

Limit heights and special values of the Riemann zeta function

M. Sombra, R. Gualdi, 2023, 2304.01966.

Polynomial partitioning on varieties and point-hypersurface incidences in four dimensions pdf

Saugata Basu, Martín Sombra, S. Basu, 2014, ArXiv.