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math.AC2024
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…
math.AC2023★ 1 cited
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…
math.AC2014
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…