Polyhedral Divisors and Algebraic Torus Actions

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We provide a complete description of normal affine varieties with effective algebraic torus action in terms of what we call proper polyhedral divisors on semiprojective varieties. Our theory extends classical cone constructions of Dolgachev, Demazure and Pinkham to the multigraded case, and it comprises the theory of affine toric varieties.
Major revision, new results added, to appear in Math. Ann., 40 pages

Keywords

Algebraic Geometry, 14L30 (Primary), 14C20, 52B20 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/99862

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306285
 http://arxiv.org/abs/math/0306285
 Math. Ann. 334, 557-607 (2006)

Collections

arXiv