Holomorphic differentials of certain solvable covers of the projective line over a perfect field

被引：5

作者：

Marques, Sophie ^{[1
]}

Ward, Kenneth ^{[1
,2
]}

机构：

[1] Univ Cape Town, Dept Math & Appl Math, ZA-7700 Cape Town, South Africa

[2] Amer Univ, Dept Math & Stat, 4400 Massachusetts Ave, Washington, DC 20016 USA

来源：

MATHEMATISCHE NACHRICHTEN | 2018年 / 291卷 / 13期

关键词：

algebraic curve; differentials; perfect field; solvable; tower; ARTIN-SCHREIER EXTENSIONS; ALGEBRAIC FUNCTION-FIELDS; CHARACTERISTIC-P; WEIERSTRASS POINTS; AUTOMORPHISMS; K(X); REPRESENTATIONS; RAMIFICATION; COMPOSITUM;

D O I：

10.1002/mana.201500347

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a Boseck-type basis of the space of holomorphic differentials for a large class of solvable covers of the projective line with perfect field of constants of characteristic p>0. Within this class, we also describe the Galois module structure of holomorphic differentials for abelian covers.

引用

页码：2057 / 2083

页数：27

共 26 条

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