Equivariant volumes for linearized actions

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Suppose given a linearized action on a polarized complex projective manifold (M,L), and assume that the stable locus is non-empty. We study the leading asymptotics of the dimension of the equivariant summands appearing in the space of global sections of high powers of L. We use Kirwan resolutions and an elementary algebro-geometric argument to reduce the problem to the case of non-singular actions (that is, actions for which the stable and semistable loci coincide and are non-empty).

Keywords

Algebraic Geometry, Symplectic Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/100990

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412433
 http://arxiv.org/abs/math/0412433

Collections

arXiv