曲面上的典型极化簇族
代数几何
2007-05-23 v4
摘要
Shafarevich 双曲性猜想断言:除非基的对数 Kodaira 维为正,否则定义在拟射影一维基上的曲线族是平凡族。更一般地,Viehweg 猜想:若典型极化簇的光滑族具有极大变差,则其基为对数一般型。本文中,我们将族的变差与基的对数 Kodaira 维联系起来,并对由曲面参数化的族给出了 Viehweg 猜想的肯定回答。
引用
@article{arxiv.math/0511378,
title = {Families of canonically polarized varieties over surfaces},
author = {Stefan Kebekus and Sandor J. Kovacs},
journal= {arXiv preprint arXiv:math/0511378},
year = {2007}
}
备注
final version, to appear in Invent. Math. A rather minor issue in construction 6.10 and a typo has been fixed