Melina Privitelli

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20142024

most citedExplicit Estimates for the Number of Rational Points of Singular Complete Intersections over a Finite Field

1 citations · 1 across the 5 of their papers we have counts for

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math.AG2022

The distribution of defective multivariate polynomial systems over a finite field

Nardo Giménez, Guillermo Matera, Mariana Pérez +1

This paper deals with properties of the algebraic variety defined as the set of zeros of a "deficient" sequence of multivariate polynomials. We consider two types of varieties: ide…

math.AG2022

On the computation of rational solutions of underdetermined systems over a finite field

Nardo Giménez, Guillermo Matera, Mariana Pérez +1

We design and analyze an algorithm for computing solutions with coefficients in a finite field $F_{q}$ of underdetermined systems defined over $F_{q}$ . The algorithm…

math.AG2014★ 1 cited

Explicit Estimates for the Number of Rational Points of Singular Complete Intersections over a Finite Field

Guillermo Matera, Mariana Pérez, Melina Privitelli

Let $V \subset P^{n} (F_{q})$ be a complete intersection defined over a finite field $F_{q}$ of dimension $r$ and singular locus of dimensi…