Counting rational maps onto surfaces and fundamental groups

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We consider the class of quasiprojective varieties admitting a dominant morphism onto a curve with negative Euler characteristic. The existence of such a morphism is a property of the fundamental group. We show that for a variety in this class the number of maps onto a hyperbolic curve or surfaces can be estimated in terms of the numerical invariants of the fundamental group. We use this estimates to find the number of biholomorphic automorphisms of complements to some arrangements of lines.
19 pages, AMSTeX

Keywords

Algebraic Geometry, 14FXX; 14R25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/71035

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405018
 http://arxiv.org/abs/math/0405018

Collections

arXiv