On the arithmetic self-intersection number of the dualizing sheaf on arithmetic surfaces
Number Theory
2013-08-15 v2 Algebraic Geometry
Abstract
We study the arithmetic self-intersection number of the dualizing sheaf on arithmetic surfaces with respect to morphisms of a particular kind. We obtain upper bounds for the arithmetic self-intersection number of the dualizing sheaf on minimal regular models of the modular curves associated with congruence subgroups with square free level, as well as for the modular curves X(N) and the Fermat curves with prime exponent.
Cite
@article{arxiv.0906.2056,
title = {On the arithmetic self-intersection number of the dualizing sheaf on arithmetic surfaces},
author = {Ulf Kuehn},
journal= {arXiv preprint arXiv:0906.2056},
year = {2013}
}
Comments
slightly changed version