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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 of underdetermined systems defined over . The algorithm…