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The KH-Theory of Complete Simplicial Toric Varieties and the Algebraic K-Theory of Weighted Projective Spaces
Toric Varieties Algebraic K-Theory Weighted Projective Spaces K-regularity
2012/7/11
We show that, for a complete simplicial toric variety $X$, we can determine its homotopy $\K$-theory (denoted $\KH$-theory) entirely in terms of the torus pieces of open sets forming an open cover of ...
A note on the Frobenius morphism on toric varieties
note Frobenius morphism toric varieties
2011/1/20
We give a new, shorter computation of Frobenius push-forwards of line bundles on toric varieties.
Arithmetic Motivic Poincaré series of toric varieties
Arithmetic Motivic Poincaré series toric varieties
2010/11/22
The arithmetic motivic Poincar\'e series of a variety $V$ defined over a field of characteristic zero, is an invariant of singularities which was introduced by Denef and Loeser by analogy with the Ser...
Extensions of Toric Varieties
toric variety Hilbert function of a local ring tangent cone syzygy
2010/11/29
In this paper, we introduce the notion of “extension” of a toric variety and study its fundamental properties. This gives rise to infinitely many toric varieties with a special property, such as being...
Deformations of chiral algebras and quantum cohomology of toric varieties
chiral algebras quantum cohomology toric varieties
2010/11/1
We reproduce the quantum cohomology of toric varieties (and of some hypersurfaces in projective spaces) as the cohomology of certain vertex algebras with differential. The deformation technique allows...
We consider subtorus actions on divisorial toric varieties. Here divisoriality means that the variety has many Cartier divisors like quasiprojective and smooth ones. We characterize when a subtorus a...