Logarithmic orbifold Euler numbers of surfaces with applications
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0012180,
title = {Logarithmic orbifold Euler numbers of surfaces with applications},
author = {Adrian Langer},
journal= {arXiv preprint arXiv:math/0012180},
year = {2007}
}
Comments
37 pages; AMSTeX