Research Articles

      		
    

  









    

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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. 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

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