The Szpiro inequality for higher genus fibrations
Algebraic Geometry
2007-05-23 v1
Abstract
Let f : S --> B be a non-trivial family of semi-stable curves of genus g, N the number of critical points of f and s the number of singular fibres. We prove the inequality N < (4g+2)(s+2g(B)-2) .
Keywords
Cite
@article{arxiv.math/0109080,
title = {The Szpiro inequality for higher genus fibrations},
author = {Arnaud Beauville},
journal= {arXiv preprint arXiv:math/0109080},
year = {2007}
}
Comments
2 pages, Plain TeX