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- Gabriela Jeronimo, Guillermo Matera, Pablo SolernÃ³, Ariel Waissbein
- Foundations of Computational Mathematics
- 2009

We exhibit a probabilistic symbolic algorithm for solving zerodimensional sparse systems. Our algorithm combines a symbolic homotopy procedure, based on a flat deformation of a certain morphism ofâ€¦ (More)

- Gabriela Jeronimo, Daniel Perrucci
- J. Symb. Comput.
- 2010

We present a new positive lower bound for the minimum value taken by a polynomial P with integer coefficients in k variables over the standard simplex of R, assuming that P is positive on theâ€¦ (More)

- Gabriela Jeronimo, Teresa Krick, Juan Sabia, MartÃn Sombra
- Foundations of Computational Mathematics
- 2004

We present a bounded probability algorithm for the computation of the Chow forms of the equidimensional components of an algebraic variety. In particular, this gives an alternative procedure for theâ€¦ (More)

- Lisi D'Alfonso, Gabriela Jeronimo, Pablo SolernÃ³
- J. Complexity
- 2006

We prove upper bounds on the order and degree of the polynomials involved in a resolvent representation of the prime differential ideal associated with a polynomial differential system for aâ€¦ (More)

- Gabriela Jeronimo, Juan Sabia
- J. Symb. Comput.
- 2007

We present a new algorithm for the computation of resultants associated with multihomogeneous (and, in particular, homogeneous) polynomial equation systems using straight-line programs. Itsâ€¦ (More)

- Gabriela Jeronimo, Daniel Perrucci, Elias P. Tsigaridas
- SIAM Journal on Optimization
- 2013

We give an explicit upper bound for the algebraic degree and an explicit lower bound for the absolute value of the minimum of a polynomial function on a compact connected component of a basic closedâ€¦ (More)

- Lisi D'Alfonso, Gabriela Jeronimo, Pablo SolernÃ³
- ArXiv
- 2012

This paper focuses on effectivity aspects of the LÃ¼rothâ€™s theorem in differential fields. Let F be a differential field of characteristic 0 and Fã€ˆuã€‰ be the field of differential rational functionsâ€¦ (More)

- MarÃa Isabel Herrero, Gabriela Jeronimo, Juan Sabia
- J. Symb. Comput.
- 2013

This paper focuses on the equidimensional decomposition of affine varieties defined by sparse polynomial systems. For generic systems with fixed supports, we give combinatorial conditions for theâ€¦ (More)

- Gabriela Jeronimo, Daniel Perrucci, Juan Sabia
- Discrete & Computational Geometry
- 2010

We present a new probabilistic algorithm to find a finite set of points intersecting the closure of each connected component of the realization of every sign condition over a family of realâ€¦ (More)

- Gabriela Jeronimo, Susana Puddu, Juan Sabia
- J. Algorithms
- 2001

We prove the existence of an algorithm that, from a finite set of polynomials defining an algebraic projective variety, computes the Chow form of its equidimensional component of the greatestâ€¦ (More)