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The K-theory of toric varieties
(American Mathematical Society, 2009-06)
Recent advances in computational techniques for K-theory allow us to describe the K-theory of toric varieties in terms of the K-theory of fields and simple cohomological data.
Self-dual toric varieties
(Oxford University Press, 2011-12)
Let T be a torus over an algebraically closed field k of characteristic 0, and consider a projective T -module P ( V ). We determine when a projective toric subvariety X ⊂ P ( V ) is self-dual, in terms of the configuration ...
Condições que caracterizam um conjunto tórico como variedade afim tóricaConditions for characterization of a toric set as an affne toric variety
(Universidade Federal de UberlândiaBrasilPrograma de Pós-graduação em Matemática, 2019)
Higher order duality and toric embeddingsDualité d’ordre supérieur et immersions toriques
(Annales Inst Fourier, 2014-08)
The notion of higher order dual varieties of a projective variety, introduced by Piene in 1983, is a natural generalization of the classical notion of projective duality. In this paper we study higher order dual varieties ...
Solving a sparse system using linear algebra
(Elsevier, 2015-04)
We give a new theoretical tool to solve sparse systems with finitely many solutions. It is based on toric varieties and basic linear algebra; eigenvalues, eigenvectors and coefficient matrices. We adapt Eigenvalue theorem ...
Higher Nash blowups of normal toric varieties in positive characteristic
(Tohoku Mathematical Journal, 2020-06-18)
Se muestra que la explosión de Nash superior de una variedad tórica normal y singular, definida sobre un campo de característica positiva, no es un isomorfismo. Se muestra que la singularidad A3 no puede ser resuelta con ...
Propiedades de regularidad homológica de variedades de banderas cuánticas y álgebras asociadasHomological regularity properties of quantum flag varieties and related algebras
(2014-01-01)
Los objetos de estudio de esta tesis pertenecen a dos familias de ”variedades no conmutativas”, es decir álgebras N-graduadas conexas noetherianas a las que consideramos, siguiendo la perspectiva de la geometría no ...
Resolución tórica de singularidades
(Pontificia Universidad Católica del PerúPE, 2019)
Resolución tórica de singularidades
(Pontificia Universidad Católica del PerúPE, 2019)