Hyperelliptic Szpiro inequality
几何拓扑
2007-05-23 v1 代数几何
摘要
We generalize the classical Szpiro inequality to the case of a semistable family of hyperelliptic curves. We show that for a semistable symplectic Lefschetz fibration of hyperelliptic curves of genus , the number of non-separating vanishing cycles and the number of singular fibers satisfy the inequality .
引用
@article{arxiv.math/0106212,
title = {Hyperelliptic Szpiro inequality},
author = {F. Bogomolov and L. Katzarkov and T. Pantev},
journal= {arXiv preprint arXiv:math/0106212},
year = {2007}
}
备注
LaTeX2e, 27 pages