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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…
A theorem about Cremona maps and symbolic Rees algebras
Barbara Costa, Zaqueu Ramos, Aron Simis
This work is about the structure of the symbolic Rees algebra of the base ideal of a Cremona map. We give sufficient conditions under which this algebra has the "expected form" in…
On catalecticant perfect ideals of codimension 2
A. Simis, Z. Ramos
One deals with catalectic codimension two perfect ideals and certain degenerations thereof, with a view towards the nature of their symbolic powers. In the spirit of [10] one consi…