Differential embedding problems over Laurent series fields

被引：5

作者：

Bachmayr, Annette ^{[1
]}

Harbater, David ^{[2
]}

Hartmann, Julia ^{[2
]}

机构：

[1] Univ Bonn, Math Inst, D-53115 Bonn, Germany

[2] Univ Penn, Dept Math, Philadelphia, PA 19104 USA

来源：

JOURNAL OF ALGEBRA | 2018年 / 513卷

关键词：

Picard-Vessiot theory; Inverse differential Galois problem; Embedding problems; Patching; Linear algebraic groups; GALOIS THEORY;

D O I：

10.1016/j.jalgebra.2018.07.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We solve the inverse differential Galois problem over the fraction field of k[[t, x]] and use this to solve split differential embedding problems over k((t))(x) that are induced from k(x). The proofs use patching as well as prior results on inverse problems and embedding problems. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：99 / 112

页数：14

共 22 条

[1] Picard-Vessiot extensions of artinian simple module algebras [J].