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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...
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...