Some examples of (p-1)-th Frobenius split projectivized bundles

被引：0

作者：

Xin, He ^{[1
]}

机构：

[1] Bohai Univ, Sch Math & Phys, Jinzhou 121013, Peoples R China

来源：

ARCHIV DER MATHEMATIK | 2020年 / 115卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Frobenius splitting; Cotangent bundle; K3; surface;

D O I：

10.1007/s00013-020-01527-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the projectivized cotangent bundles of smooth quadrics of dimensions three and four are(p-1)-th Frobenius split when p > 10. Besides, we show that the cotangent bundles of certain ordinary elliptic K3 surfaces are not Frobenius split.

引用

页码：627 / 637

页数：11

共 21 条

[1] Some examples of (p-1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(p-1)$$\end{document}-th Frobenius split projectivized bundles
He Xin
Archiv der Mathematik, 2020, 115 (6) : 627 - 637
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