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Preprint Number 1117

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1117. Annette Bachmayr, David Harbater, Julia Hartmann, Michael Wibmer
Differential Embedding Problems over Complex Function Fields

Submission date: 28 October 2016


This paper proves the solvability of all differential embedding problems over complex algebraic function fields. The proof is based on a patching result for differential torsors and a patching theorem for Picard-Vessiot rings, which are proven over more general differential fields of characteristic zero.

Mathematics Subject Classification: 12H05 (Primary), 20G15, 14H55, 34M50 (Secondary)

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Full text arXiv 1610.09336: pdf, ps.

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