Logarithmic orbifold Euler numbers of surfaces with applications

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We introduce orbifold Euler numbers for normal surfaces with Q-divisors. These numbers behave multiplicatively under finite maps and in the log canonical case we prove that they satisfy the Bogomolov-Miyaoka-Yau type inequality. As a corollary we prove effective versions of Bogomolov's result on boundedness of rational curves in some surfaces of general type. Finally, we give some applications to singularities of plane curves.
37 pages; AMSTeX

Keywords

Algebraic Geometry, 14J17; 14J29; 14C17

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/60605

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0012180
 http://arxiv.org/abs/math/0012180

Collections

arXiv