Differential embedding problems over Laurent series fields

JOURNAL OF ALGEBRA

卷:513

Article

Bachmayr, Annette¹  Harbater, David²  Hartmann, Julia² 

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

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

关键词: Picard-Vessiot theory;    Inverse differential Galois problem;    Embedding problems;    Patching;    Linear algebraic groups;   

DOI  :  10.1016/j.jalgebra.2018.07.017

来源: Elsevier

【 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.

【 授权许可】

Free