Parameterized Differential Equations over k((t))(x)
نویسنده
چکیده
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). 2010 Mathematics Subject Classication. 12H05, 20G15, 14H25, 34M03, 34M15, 34M50.
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