GENERATION OF k-JETS ON TORIC VARIETIES
نویسنده
چکیده
The notion of a k-convex ∆-support function for a toric variety X(∆) is introduced. A criterion for a line bundle L to generate k-jets on X is given in terms of the k-convexity of the ∆-support function ψL. Equivalently L is proved to be k-jet ample if and only if the restriction at each invariant curve has degree at least k.
منابع مشابه
Notes on Toric Varieties from Mori Theoretic Viewpoint
The main purpose of this notes is to supplement the paper [Re], which treated Minimal Model Program (also called Mori’s Program) on toric varieties. We calculate lengths of negative extremal rays of toric varieties. As an application, we obtain a generalization of Fujita’s conjecture for singular toric varieties. We also prove that every toric variety has a small projective toric Q-factorializa...
متن کاملThe Equivariant K - Theory of Toric Varieties
This paper contains two results concerning the equivariant K-theory of toric varieties. The first is a formula for the equivariant K-groups of an arbitrary affine toric variety, generalizing the known formula for smooth ones. In fact, this result is established in a more general context, involving the K-theory of graded projective modules. The second result is a new proof of a theorem due to Ve...
متن کاملBULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY
Algebraic Geometry is a deep subject of remarkable power that originated in the study of concrete objects, as it is concerned with the geometry of solutions to polynomial equations. It is this interplay between theoretical abstraction and tangible examples that gives the subject relevance and a reach into other areas of mathematics and its applications. There is no better subdiscipline of algeb...
متن کاملOn the K-theory of Toric Stack Bundles
Simplicial toric stack bundles are smooth Deligne-Mumford stacks over smooth varieties with fibre a toric Deligne-Mumford stack. We compute the Grothendieck K-theory of simplicial toric stack bundles and study the Chern character homomorphism.
متن کاملK ¨ Ahler Metrics on Singular Toric Varieties
We extend Guillemin's formula for Kähler potentials on toric manifolds to singular quotients of C N and CP N .
متن کامل