Research Articles

      		
    

  









    

  1. 

    
D'Andrea, Carlos; Jeronimo, Gabriela .  Sparse Nullstellensatz, resultants and determinants of complexes. arXiv:2407.13450

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Carando,Daniel; D'Andrea, Carlos; Torres, Leodan A.; Turco, Pablo.  Entropy numbers and box dimension of polynomials and holomorphic functions. Online at
Math. Nachr  and
arXiv:2401.12059

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

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Cox, David A.; D'Andrea, Carlos.
Subresultants and the Shape lemma.  Math. Comp. 92 (2023), no. 343, 2355-2379.
arXiv:2112.10306

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Cortadellas Benítez, Teresa; D'Andrea, Carlos; Montoro, Eulàlia.
Bounds for degrees of syzygies of polynomials defining a grade two ideal.  J. Symbolic Comput. 115 (2023), 124-131. 
arXiv: 2012.08137

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D'Andrea, Carlos; Jeronimo, Gabriela; Sombra, Martín. The Canny-Emiris conjecture for the sparse resultant.  Found. Comput. Math. 23 (2023), no. 3, 741-801.
 arXiv:2004.14622 

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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.

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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

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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

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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

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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

    12. 

  12. 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
    
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  13. 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
    
    14. 


  14. 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
    
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  15. 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
    
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  16.  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
    
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  17. 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

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  18.  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
    
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    D'Andrea, Carlos; Gómez, Emiliano. Equidistribution in sharing games.
Open Journal of Discrete Mathematics (OJDM), Vol.4 No.1 2014
    
  
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  20. Cortadellas Benítez, Teresa; D'Andrea, Carlos.  The Rees Algebra of a monomial plane parametrization. J. Symbolic
Comput. 70 (2015), 71-105.arXiv.1311.5488
    
    21. 

  21. D'Andrea, Carlos; Sombra, Martín. A Poisson formula for the sparse resultant.  Proc. Lond. Math. Soc.
  (4) 110 (2015), 932–964.
 arXiv.1310.6617
    
    22. 

  22. 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
    
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  23. 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
    
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  24. 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
    
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  25. 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
    
    
  
    26. 
 
  26. Cortadellas Benítez, Teresa; D'Andrea, Carlos. Rational plane curves parameterizable by conics.   J. Algebra 373 (2013) 453-480. arXiv:1104.2782
    
    
  
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  27. 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
    
  
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  28. D'Andrea, Carlos; Krick, Teresa; Szanto, Agnes. Subresultants in multiple roots.  Linear Algebra Appl.  438 (2013) no.5, 1969-1989. arXiv:1012.4615
    
  
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  29. Busé, Laurent; D'Andrea, Carlos. Singular factors of rational
plane curves. J. Algebra 357 (2012) 322-346. arXiv:0912.2723
    
  
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  30. 
    
    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
    
    
  
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    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 
    
  
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    D'Andrea, Carlos; Sombra, Martín. The Newton polygon of a
rational plane curve.  Math.Comput.Sci. (2010) 4:3-24.
 arXiv:0710.1103
    
    
    
  
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    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
    
    
    
  
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    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
    
  
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    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
    
  
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    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
    
  
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    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
    
  
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    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
    
  
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    D'Andrea, Carlos; Khetan, Amit.
Implicitization of rational surfaces using toric varieties. J.
Algebra 303
(2006)
543-565. math.AG/0401403
    
  
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    D'Andrea, Carlos; Krick, Teresa;
Szanto, Agnes. Multivariate subresultants in roots. J. Algebra
302 (1),
16-36, 2006. math.AG/0501281
    
  
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    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
    
  
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    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
    
  
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    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
    
  
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    D'Andrea, Carlos;
Khetan, Amit. Macaulay style formulas for the toric residue. 
Compos. Math.  141 (2005), no. 3, 713-728. math.AG/030715
    
  
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    D'Andrea, Carlos; Jeronimo,
Gabriela. Subresultants and generic monomial bases. J.
Symbolic
Comput. 39 (2005), no. 3-4,
259-277. math.AG/0301355
    
  
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  46. 
    
    Busé, Laurent; D'Andrea, Carlos.
Inversion of parameterized hypersurfaces by means of subresultants. ISSAC
2004, 65-71, ACM, New York, 2004. click
    
  
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  47. 
    
    D'Andrea, Carlos; Hare, Kevin G. On
the height of the Sylvester resultant.  Experiment. Math.,
13 (2004), no. 3, 331-341. math.NT/0310276
    
  
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  48. 
    
    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
    
  
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  49. 
    
    D'Andrea, Carlos. On the structure
of mu-classes.  Comm. Algebra 32 (2004), no. 1, 159-165. math.AG/0204177
    
  
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    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
    
  
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  51. 
    
    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
    
  
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    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
    
  
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  53. 
    
    D'Andrea, Carlos. Macaulay style
formulas for sparse resultants. Trans. Amer. Math. Soc. 354
(2002), no. 7, 2595-2629. math.AG/0107181
    
  
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    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
    
  
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  55. 
    
    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
    
  
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  56. 
    
    D'Andrea, Carlos. Resultants and
moving surfaces. J. Symbolic Comput. 31 (2001),
no. 5, 585-602. math.AG/0101260
    
  
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  57. 
    
    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
    
  
    58.