A. Tochimani

collaborators

4 papers

math.AC2015

Binomial vanishing ideals

Azucena Tochimani, Rafael H. Villarreal

In this paper we characterize, in algebraic and geometric terms, when a graded vanishing ideal is generated by binomials over any field K.

math.AC2015

Complete intersection vanishing ideals on sets of clutter type over finite fields

Azucena Tochimani, Rafael H. Villarreal

In this paper we give a classification of complete intersection vanishing ideals on parameterized sets of clutter type over finite fields.

math.AC2015

Vanishing ideals over finite fields

Azucena Tochimani, Rafael H. Villarreal

Let $F_{q}$ be a finite field, let $X$ be a subset of a projective space $P^{s - 1}$ , over the field $F_{q}$ , parameterized by rational functions, an…

math.AC2015

Direct products in projective Segre codes

Azucena Tochimani, Maria Vaz Pinto, Rafael H. Villarreal

Let K=Fq be a finite field. We introduce a family of projective Reed-Muller-type codes called projective Segre codes. Using commutative algebra and linear algebra methods, we study…