Let D be an integer matrix. A toric set, namely the points in K n parametrized by the columns of D, and a toric variety are associated to D. The toric set is a subset of the toric variety. We describe the relation between the toric set and the toric variety, in terms of the orbits of the torus actio
Differential operators on toric varieties
β Scribed by Ian M. Musson
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 731 KB
- Volume
- 95
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let X be a smooth toric variety. Cox introduced the homogeneous coordinate ring S of X and its irrelevant ideal . Let A denote the ring of differential operators on Spec(S). We show that the category of -modules on X is equivalent to a subcategory of graded A-modules modulo -torsion. Additionally, w
A finite group ( \(;\) acts on a smo)th affine variety Spec \(A\), leaving stable a closed subvariety \(\operatorname{Spec} A / J\). The ring of functions on the variety obtained from Spec \(A\) by replacing Spec \(A / J\) by its quotient (Spec \(A / J) / G\) and leaving the complement Spec \(A \bac
## Abstract In this note we derive a formalism for describing equivariant sheaves over toric varieties. This formalism is a generalization of a correspondence due to Klyachko, which states that equivariant vector bundles on toric varieties are equivalent to certain sets of filtrations of vector spa
In this note we describe aspects of the cohomology of coherent sheaves on a complete toric variety X over a field k and, more generally, the local cohomology, with supports in a monomial ideal, of a finitely generated module over a polynomial ring S. This leads to an efficient way of computing such