Existence of $\partial$-parameterized Picard-Vessiot extensions over fields with algebraically closed constants

Abstract

The purpose of this short note is to establish the existence of $\partial$-parameterized Picard-Vessiot extensions of systems of linear difference-differential equations over difference-differential fields with algebraically closed constants.

13 pages

References in corpus (2)

• The inverse problem of differential Galois theory over the field R(z)
• A Chevalley theorem for difference equations

Cited by in corpus (1)

• Linear Algebraic Groups as Parameterized Picard-Vessiot Galois Groups