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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.
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 ...
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 ...
Tropical discriminants
(American Mathematical Society, 2007-12)
Tropical geometry is used to develop a new approach to the theory of discriminants and resultants in the sense of Gelfand, Kapranov and Zelevinsky. The tropical A-discriminant is the tropicalization of the dual variety of ...