Raynaud-Tamagawa theta divisors and new-ordinariness of ramified coverings of curves

被引：1

作者：

Yang, Yu ^{[1
]}

机构：

[1] Kyoto Univ, Res Inst Math Sci, Kyoto 6068502, Japan

来源：

JOURNAL OF ALGEBRA | 2021年 / 587卷

关键词：

Pointed stable curve; Admissible covering; Generalized Hasse-Witt invariant; New-ordinary; Raynaud-Tamagawa theta divisor; Positive characteristic; ALGEBRAICALLY CLOSED FIELDS; FUNDAMENTAL-GROUPS; P-RANK;

D O I：

10.1016/j.jalgebra.2021.07.032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (X, D-X) be a smooth pointed stable curve over an algebraically closed field kof characteristic p > 0. Suppose that (X, D-X) is generic. We give a necessary and sufficient condition for new-ordinariness of prime-to-pcyclic tame coverings of (X, D-X). This result generalizes a result of S. Nakajima concerning the ordinariness of prime-to-p cyclic etale coverings of generic curves to the case of tamely ramified coverings. (C) 2021 Elsevier Inc. All rights reserved.

引用

页码：263 / 294

页数：32