Moret-Bailly 族与不可形式提升概型
代数几何
2021-07-01 v3
摘要
将 Moret-Bailly 超奇异阿贝尔曲面笔（pencil）推广到更高维，我们为特征 p>0 的每一个域构造了一个对偶化层平凡的光滑射影簇，它不能形式地提升到特征零。我们的方法严重依赖于局部幂零群概型、具有 的 Kähler 流形的 Beauville–Bogomolov 分解，以及等变形变理论。
引用
@article{arxiv.2006.16775,
title = {Moret-Bailly families and non-liftable schemes},
author = {Damian Roessler and Stefan Schröer},
journal= {arXiv preprint arXiv:2006.16775},
year = {2021}
}
备注
31 pages, Theorem 5.1 extended to the case that \omega_Y is anti-nef, results on non-existence of formal liftings corrected by adding assumptions, Section 9 on non-existence of liftings to rings of Witt vectors added