1 citations · 2 across the 5 of their papers we have counts for
9 papers
The structure of almost Cohen-Macaulay -generated ideals of codimension in terms of matrix theory
Ricardo Burity, Thiago Fiel, Zaqueu Ramos +1
Let be a standard graded polynomial ring over a field . The paper focuses on homogeneous ideals of codimension generated by three forms of the same degree…
Betti numbers of fold products of linear forms
Ricardo Burity, Stefan Tohaneanu
The ideals generated by fold products of linear forms are generalizations of powers of defining ideals of star configurations, or of Veronese type ideals, and in this paper we stud…
Rose-Terao-Yuzvinsky theorem for reduced forms
Ricardo Burity, Zaqueu Ramos, Aron Simis +1
Yuzvinsky and Rose-Terao have shown that the homological dimension of the gradient ideal of the defining polynomial of a generic hyperplane arrangement is maximum possible. In this…
Free divisors, blowup algebras of Jacobian ideals, and maximal analytic spread
Ricardo Burity, Cleto B. Miranda-Neto, Zaqueu Ramos
Free divisors form a celebrated class of hypersurfaces which has been extensively studied in the past fifteen years. Our main goal is to introduce four new families of homogeneous…
On the Jacobian ideal of central arrangements
Ricardo Burity, Aron Simis, Stefan Tohaneanu
Let denote a central hyperplane arrangement of rank in affine space over an infinite field and let $l_1,\ldots, l_m\in R:= \mathbb K[x…
Logarithmic derivations associated to line arrangements
Ricardo Burity, Stefan Tohaneanu
In this paper we give full classification of rank 3 line arrangements in (over a field of characteristic 0) that have a minimal logarithmic derivation of degree 3. Th…
Ideals generated by -fold products of linear forms have linear graded free resolution
Ricardo Burity, Ştefan O. Tohǎneanu, Yu Xie
Given , where is a field of characteristic 0, any finite collection of linear forms, some possibly proportional, and any $1\leq a…
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 has depth one. The proof hinges on the behavior of the Ratliff-Rush fil…
On a conjecture of Vasconcelos
Ricardo Burity, Aron Simis, Stefan Tohaneanu
One studies the structure of the Rees algebra of an almost complete intersection monomial ideal of finite co-length in a polynomial ring over a field, assuming that the least pure…