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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…
math.AC2016
The Newton complementary dual revisited
André Dória, Aron Simis
This work deals with the notion of Newton complementary duality as raised originally in the work of the second author and B. Costa. A conceptual revision of the main steps of the n…
math.AC2010★ 68 cited
A characteristic free criterion of birationality
A. V. Dória, S. H. Hassanzadeh, A. Simis
One develops {\em ab initio} the theory of rational/birational maps over reduced, but not necessarily irreducible, projective varieties in arbitrary characteristic. A numerical inv…