T
Teresa Krick
Researcher at Facultad de Ciencias Exactas y Naturales
Publications - 64
Citations - 1288
Teresa Krick is an academic researcher from Facultad de Ciencias Exactas y Naturales. The author has contributed to research in topics: Polynomial & Univariate. The author has an hindex of 20, co-authored 64 publications receiving 1199 citations. Previous affiliations of Teresa Krick include National Scientific and Technical Research Council & University of Buenos Aires.
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Journal ArticleDOI
Sharp estimates for the arithmetic Nullstellensatz
TL;DR: In this article, the degree and height of polynomials in the integer ring ℤ over the integers have been derived for sparse polynomial systems, and the proof of these results relies heavily on the notion of local height of an affine variety defined over a number field.
Book ChapterDOI
A computational method for diophantine approximation
Teresa Krick,Luis Miguel Pardo +1 more
TL;DR: The procedures to solve algebraic geometry elimination problems have usually been designed from the point of view of commutative algebra as mentioned in this paper, which means that we have to eliminate a single block of quantifiers in a formula with polynomial equations.
Book ChapterDOI
An Algorithm for the Computation of the Radical of an Ideal in the Ring of Polynomials
Teresa Krick,Alessandro Logar +1 more
Journal ArticleDOI
Deformation techniques for efficient polynomial equation solving
TL;DR: It is shown that it is possible to “move” the given particular solution along the parameter space in order to reconstruct—by means of an arithmetic circuit—the coordinates of the solutions of the system for an arbitrary parameter instance.
Journal ArticleDOI
The Computational Complexity of the Chow Form
TL;DR: A bounded probability algorithm for the computation of the Chowforms of the equidimensional components of an algebraic variety that improves (or meets in some special cases) the complexity of all previous algorithms for computing Chow forms.