Parameterized Differential Equations over k((t))(x)

Autor: Maier, Annette
Rok vydání: 2013
Předmět:
Zdroj: Journal of Algebra 428, 43-53, 2015
Druh dokumentu: Working Paper
DOI: 10.1016/j.jalgebra.2014.12.039
Popis: In this article, we consider the inverse Galois problem for parameterized differential equations over k((t))(x) with k any field of characteristic zero and use the method of patching over fields due to Harbater and Hartmann. As an application, we prove that every connected semisimple k((t))-split linear algebraic group is a parameterized Galois group over k((t))(x).
Comment: 13 pages
Databáze: arXiv