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Quantum toric degeneration of quantum flag and Schubert varieties
(Springer, 2020-09)
We show that certain homological regularity properties of graded connected algebras, such as being AS-Gorenstein or AS-Cohen–Macaulay, can be tested by passing to associated graded rings. In the spirit of noncommutative ...
Quantum analogues of Richardson varieties in the grassmannian and their toric degeneration
(Elsevier Inc, 2012-12)
In the present paper, we are interested in natural quantum analogues of Richardson varieties in the type A grassmannians. To be more precise, the objects that we investigate are quantum analogues of the homogeneous coordinate ...
Spaces of morphisms from a projective space to a toric variety
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 2014-06-25)
In this note we study the space of morphisms from a complex projective space to a compact smooth toric variety X. It is shown that the first author's stability theorem for the spaces of rational maps from CPm to CPn extends ...
The K-theory of toric varieties in positive characteristic
(London Math Soc, 2014-03)
We show that if X is a toric scheme over a regular ring containing a field of finite characteristic, then the direct limit of the K-groups of X taken over any infinite sequence of non-trivial dilations is homotopy invariant. ...
Twisted Semigroup Algebras
(Springer, 2015-08)
We study 2-cocycle twists, or equivalently Zhang twists, of semigroup algebras over a field k. If the underlying semigroup is affine, that is abelian, cancellative and finitely generated, then Spec k[S] is an affine toric ...
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 ...
Cremona Symmetry in Gromov-Witten TheoryCremona Symmetry in Gromov-Witten Theory
(Pontificia Universidad Católica del PerúPE, 2017)