Research Articles


  1. Balachandran Nair, Amrutha: Cortadellas Benítez, Teresa; D'Andrea, Carlos; Montoro, M. Eulàlia. Bounds for the degrees of mu-bases of partially quadratic parametrizations.

  2. Cox, David A.; D'Andrea, Carlos. Subresultants and the Shape lemma. arXiv:2112.10306

  3. Cortadellas Benítez, Teresa; D'Andrea, Carlos; Montoro, Eulàlia. Bounds for degrees of syzygies of polynomials defining a grade two ideal. To appear in Journal of Symbolic Computation. arXiv: 2012.08137

  4. D'Andrea, Carlos; Jeronimo, Gabriela; Sombra, Martín. The Canny-Emiris conjecture for the sparse resultant. To appear in Foundations of Computational Mathematics. arXiv:2004.14622

  5. Cortadellas Benítez, Teresa; D'Andrea, Carlos; Montoro, Eulàlia. Bounds for degrees of minimal mu-bases of parametric surfaces. Proc. ACM Intern. Symp. on Symbolic and Algebraic Computation (2020), 107-113.

  6. Cortadellas Benítez, Teresa; Cox, David; D'Andrea. The Rees Algebra of Parametric Curves via liftings. J. Pure Appl. Algebra 224 (2020) 869-893. arXiv:1810.02077

  7. Cortadellas Benítez, Teresa; D'Andrea, Carlos; Montoro, Eulàlia. Minimal solutions of the rational interpolation problem. Rev. Un. Mat. Argentina, vol 61, 2 (2020), 413-429. arXiv:1808.02575

  8. Busé, Laurent; Cid Ruiz, Yairon; D'Andrea, Carlos. Degree and birationality of multi-graded rational maps. Proc. Lond. Math. Soc. (3) 121 (2020) 743-787. arXiV:1805.05180

  9. Busé, Laurent; D'Andrea, Carlos; Sombra, Martín, Weimann, Martin. The geometry of the flex locus of a hypersurface. Pacific J. Math. 304 (2020) no.2, 419-437. arXiV:1804.08025

  10. Cortadellas Benítez, Teresa; D'Andrea, Carlos; Montoro, Eulàlia. The set of unattainable points for the Rational Hermite Interpolation Problem. Linear Algebra Appl. Vol. 538, 116-142 (2018). arXiv:1704.08563

  11. Chang, Mei-Chu; D'Andrea, Carlos; Ostafe, Alina; Shparlinski, Igor; Sombra, Martín. Orbits of polynomial dynamical systems modulo primes. Proc. Amer. Math. Soc. 146 (2018), no. 5, 2015-2025. arXiv:1702.01976

  12. D'Andrea, Carlos; Krick, Teresa; Szanto, Agnes; Valdettaro, Marcelo. Closed formula for univariate subresultants in multiple roots. Linear Algebra Appl. Vol. 565, 123-155 (2019) arXiv:1612.05160

  13. Cortadellas Benítez, Teresa; D'Andrea, Carlos; Enescu, Florian. On the resolution of fan algebras of principal ideals over a Noetherian ring. J. Algebra 541 (2020), 61-97 arXiv:1612.02939

  14. Bostan,Alin; D'Andrea, Carlos; Krick, Teresa; Szanto, Agnes; Valdettaro, Marcelo. Subresultants in multiple roots: an extremal case. Linear Algebra Appl. Vol. 529, 185-198 (2017). arXiv:1608.03740

  15. D'Andrea, Carlos; Narváez-Clauss, Marta; Sombra, Martín. Quantitative equidistribution of Galois orbits of small points in the N-dimensional torus. Algebra Number Theory 11 (2017), no. 7, 1627-1655. arXiv:1606.04299

  16. D'Andrea, Carlos; Ostafe, Alina; Shparlinski, Igor; Sombra, Martín. Reductions modulo primes of systems polynomial equations and algebraic dynamical systems.Trans. Amer. Math. Soc. 371 (2019), no. 2, 1169-1198. arXiv.1505.05814

  17. D'Andrea, Carlos; Gómez, Emiliano. Equidistribution in sharing games. Open Journal of Discrete Mathematics (OJDM), Vol.4 No.1 2014

  18. Cortadellas Benítez, Teresa; D'Andrea, Carlos. The Rees Algebra of a monomial plane parametrization. J. Symbolic Comput. 70 (2015), 71-105.arXiv.1311.5488

  19. D'Andrea, Carlos; Sombra, Martín. A Poisson formula for the sparse resultant. Proc. Lond. Math. Soc. (4) 110 (2015), 932964. arXiv.1310.6617

  20. D'Andrea, Carlos. Moving curve ideals of rational plane parametrizations. Lecture Notes in Computer Science, Vol 8942 "Computer Algebra and Polynomials" (ISBN: 978-3-319-15080-2), 30-49 (2015). arXiv.1308.6790

  21. Cortadellas Benítez, Teresa; D'Andrea, Carlos. Minimal generators of the defining ideal of the Rees Algebra associated to a rational plane parameterization with mu=2 . Canad. J. Math. 66 (2014), no. 6, 1225-1249. arXiv.1301.6286

  22. D'Andrea, Carlos; Krick, Teresa; Szanto, Agnes. Subresultants, Sylvester sums and the rational interpolation problem. J. Symbolic Comput. 68 (2015) 72-83. arXiv.1211.6895

  23. D'Andrea, Carlos; Galligo, André; Sombra, Martín. Quantitative equidistribution for the solutions of a system of sparse polynomial equations. Amer. J. Math. 136 (6), 1543-1579, 2014. arXiv:1203.1843

  24. Cortadellas Benítez, Teresa; D'Andrea, Carlos. Rational plane curves parameterizable by conics. J. Algebra 373 (2013) 453-480. arXiv:1104.2782

  25. D'Andrea, Carlos; Krick, Teresa; Sombra Martín. Heights of varieties in multiprojective spaces and arithmetic Nullstellensatze. Ann. Sci. Éc. Norm. Supér. (4) 46 (2013), 549-627. arXiv:1103.4561

  26. D'Andrea, Carlos; Krick, Teresa; Szanto, Agnes. Subresultants in multiple roots. Linear Algebra Appl. 438 (2013) no.5, 1969-1989. arXiv:1012.4615

  27. Busé, Laurent; D'Andrea, Carlos. Singular factors of rational plane curves. J. Algebra 357 (2012) 322-346. arXiv:0912.2723

  28. Cortadellas Benítez, Teresa; D'Andrea, Carlos. Minimal generators of the defining ideal of the Rees Algebra associated to monoid parametrizations. Comput. Aided Geom. Design 27 (2010), no. 6, 461-473. arXiv:0907.4669

  29. D'Andrea, Carlos; Tabera, Luis Felipe. Tropicalization and irreducibility of generalized Vandermonde determinants. Proc. Amer. Math. Soc. 137 (2009), no. 11, 3647-3656. arXiv:0803.2166v2

  30. D'Andrea, Carlos; Sombra, Martín. The Newton polygon of a rational plane curve. Math.Comput.Sci. (2010) 4:3-24. arXiv:0710.1103

  31. D'Andrea, Carlos;  Sombra, Martín. Rational parametrizations, intersection theory and Newton polytopes. The IMA Volumes in Mathematics and its Applications: Vol 151: Nonlinear Computational Geometry, 35-50 (2009). click

  32. D'Andrea, Carlos; Hong, Hoon; Krick, Teresa; Szanto, Agnes. Sylvester's double sums: the general case. J. Symbolic Comput. 44 (2009), no. 9, 1164-1175. math.AC/0701721

  33. D'Andrea, Carlos; Chipalkatti, Jaydeep (with an appendix by Abdelmalek Abdesselam). On the jacobian ideal of the binary discriminant. Collect. Math. 58,2 (2007), 155-180. math.AG/0601705

  34. D'Andrea, Carlos; Hong, Hoon; Krick, Teresa; Szanto, Agnes. An elementary proof of Sylvester's double sums for subresultants. J. Symbolic Comput. 42 (2007), no.3, 290-297. math.AC/0604418

  35. D'Andrea, Carlos; Lalín, Matilde. On the Mahler measure of resultants in small dimensions. J. Pure Appl. Algebra 209 (2007) no. 2, 393-410. math.NT/0604359

  36. D'Andrea, Carlos; Jeronimo, Gabriela. Rational formulas for traces in zero-dimensional algebras. Appl. Algebra Engrg. Comm. Comput. 19 (2008), no. 6, 495-508. math.AC/0503721

  37. D'Andrea, Carlos; Khetan, Amit. Implicitization of rational surfaces using toric varieties. J. Algebra 303 (2006) 543-565. math.AG/0401403

  38. D'Andrea, Carlos; Krick, Teresa; Szanto, Agnes. Multivariate subresultants in roots. J. Algebra 302 (1), 16-36, 2006. math.AG/0501281

  39. Busé, Laurent; D'Andrea, Carlos. A matrix-based approach to properness and inversion problems for rational surfaces. Appl. Algebra Engrg. Comm. Comput. 17 (2006), no. 6, 393-407. math.AC/0410478

  40. D'Andrea, Carlos; Sombra, Martín. The Cayley-Menger determinant is irreducible for n>=3. Siberian Math. J., 46 (2005), no. 1, 71-76.math.AC/0406359

  41. D'Andrea, Carlos. On the irreducibility of the determinant of the matrix of moving planes. Comm. Algebra 33 (2005), no. 4, 1065-1072.math.AG/0312388

  42. D'Andrea, Carlos; Khetan, Amit. Macaulay style formulas for the toric residue. Compos. Math. 141 (2005), no. 3, 713-728. math.AG/030715

  43. D'Andrea, Carlos; Jeronimo, Gabriela. Subresultants and generic monomial bases. J. Symbolic Comput. 39 (2005), no. 3-4, 259-277. math.AG/0301355

  44. Busé, Laurent; D'Andrea, Carlos. Inversion of parameterized hypersurfaces by means of subresultants. ISSAC 2004, 65-71, ACM, New York, 2004. click

  45. D'Andrea, Carlos; Hare, Kevin G. On the height of the Sylvester resultant. Experiment. Math., 13 (2004), no. 3, 331-341. math.NT/0310276

  46. Busé, Laurent; D'Andrea, Carlos. On the irreducibility of multivariate subresultants. C. R. Acad. Sci. Paris Sér. I Math 338 (2004), 287-290. math.AG/0309374

  47. D'Andrea, Carlos. On the structure of mu-classes. Comm. Algebra 32 (2004), no. 1, 159-165. math.AG/0204177

  48. Busé, Laurent; Cox, David; D'Andrea, Carlos. Implicitization of surfaces in P^3 in the presence of base points. J. Algebra Appl. 2 (2003) 189-214. math.AG/0205251

  49. D'Andrea, Carlos; Emiris, Ioannis Z. Sparse resultant perturbations. In Algebra, Geometry, and Software Systems (edited by Michael Joswig and Nobuki Takayama), Springer Verlag 2002, 93-107. click

  50. D'Andrea, Carlos; Emiris, Ioannis Z. Hybrid sparse resultant matrices for bivariate polynomials. Computer algebra (London, ON, 2001). J. Symbolic Comput. 33 (2002), no. 5, 587-608. click

  51. D'Andrea, Carlos. Macaulay style formulas for sparse resultants. Trans. Amer. Math. Soc. 354 (2002), no. 7, 2595-2629. math.AG/0107181

  52. D'Andrea, Carlos; Emiris, Ioannis Z. Computing sparse projection operators. Symbolic computation: solving equations in algebra, geometry, and engineering (South Hadley, MA, 2000), 121-139, Contemp. Math., 286, Amer. Math. Soc., Providence, RI, 2001. click

  53. D'Andrea, Carlos; Dickenstein, Alicia. Explicit formulas for the multivariate resultant. Effective methods in algebraic geometry (Bath, 2000). J. Pure Appl. Algebra 164 (2001), no. 1-2, 59-86. math.AG/0007036

  54. D'Andrea, Carlos. Resultants and moving surfaces. J. Symbolic Comput. 31 (2001), no. 5, 585-602. math.AG/0101260

  55. Cattani, Eduardo; D'Andrea, Carlos; Dickenstein, Alicia. The A-hypergeometric system associated with a monomial curve. Duke Math. J. 99 (1999), no. 2, 179-207.math.AG/9805005