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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 has depth one. The proof hinges on the behavior of the Ratliff-Rush fil…
math.AC2017
Linearly presented perfect ideals of codimension in three variables
André Dória, Zaqueu Ramos, Aron Simis
The goal of this paper is the fine structure of the ideals in the title, with emphasis on the properties of the associated Rees algebra and the special fiber. The watershed between…