A+ CATEGORY SCIENTIFIC UNIT

Remarks on the intrinsic inverse problem

Volume 58 / 2002

Daniel Bertrand Banach Center Publications 58 (2002), 127-35 MSC: Primary 12H05; Secondary 20G15 DOI: 10.4064/bc58-0-2

Abstract

The intrinsic differential Galois group is a twisted form of the standard differential Galois group, defined over the base differential field. We exhibit several constraints for the inverse problem of differential Galois theory to have a solution in this intrinsic setting, and show by explicit computations that they are sufficient in a (very) special situation.

Authors

  • Daniel BertrandInstitut de Mathématiques de Jussieu
    Case 247
    F-75252 Paris Cédex 05, France
    e-mail

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