全局Frobenius可提升性 II：曲面与Fano三维流形
代数几何
2021-02-05 v1
摘要
在本文——“全局Frobenius可提升性 I”(math:1708:03777v2)的续篇——中，我们继续发展模的Frobenius提升的综合理论。我们研究除子与闭子概形同Frobenius提升的相容性、爆破的Frobenius提升、在某些群作用商下的下降、基变换下的稳定性，以及相伴F-分裂的性质。据此，我们刻画了Frobenius可提升曲面与Fano三维流形，确认了前一篇论文中所述的猜想。
引用
@article{arxiv.2102.02788,
title = {Global Frobenius Liftability II: Surfaces and Fano Threefolds},
author = {Piotr Achinger and Jakub Witaszek and Maciej Zdanowicz},
journal= {arXiv preprint arXiv:2102.02788},
year = {2021}
}
备注
24 pages. Comments welcome! This is the second part of the paper arXiv:1708.03777 which was split off the original article "Liftability of the Frobenius morphism and images of toric varieties" in the review process and then revised