Ricardo Burity

activity

20172021

collaborators

3 papers

math.AC2021

On the Jacobian ideal of central arrangements

Ricardo Burity, Aron Simis, Stefan Tohaneanu

Let $A$ denote a central hyperplane arrangement of rank $n$ in affine space $K^{n}$ over an infinite field $K$ and let $l_1,\ldots, l_m\in R:= \mathbb K[x…

math.AC2020

Ideals generated by $a$ -fold products of linear forms have linear graded free resolution

Ricardo Burity, Ştefan O. Tohǎneanu, Yu Xie

Given $Σ \subset R := K [x_{1}, \dots, x_{k}]$ , where $K$ is a field of characteristic 0, any finite collection of linear forms, some possibly proportional, and any $1\leq a…

math.AC2017

The depth of the Rees algebra of three general binary forms

Ricardo Burity, Aron Simis

One proves that the Rees algebra of an ideal generated by three general binary forms of same degree $\geq 5$ has depth one. The proof hinges on the behavior of the Ratliff-Rush fil…

On the Jacobian ideal of central arrangements

Ideals generated by a-fold products of linear forms have linear graded free resolution

The depth of the Rees algebra of three general binary forms

Ideals generated by $a$ -fold products of linear forms have linear graded free resolution