Automorphisms of Finite Order on Rational Surfaces

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We classify minimal pairs (X, G) for smooth rational projective surface X and finite group G of automorphisms on X. We also determine the fixed locus X^G and the quotient surface Y = X/G as well as the fundamental group of the smooth part of Y. The realization of each pair is included. Mori's extremal ray theory and recent results of Alexeev and also Ambro on the existence of good anti-canonical divisors are used.
with an Appendix by I. Dolgachev; to appear in Journal of Algebra

Keywords

Algebraic Geometry, 14J26, 14J50

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/59925

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0009126
 http://arxiv.org/abs/math/0009126

Collections

arXiv