Remarks on the intrinsic inverse problem

Daniel Bertrand

Banach Center Publications (2002)

  • Volume: 58, Issue: 1, page 127-35
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Daniel Bertrand. "Remarks on the intrinsic inverse problem." Banach Center Publications 58.1 (2002): 127-35. <http://eudml.org/doc/281690>.

@article{DanielBertrand2002,
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.},
author = {Daniel Bertrand},
journal = {Banach Center Publications},
keywords = {differential Galois group; inverse problem; Picard-Vessiot extension; Katz group},
language = {eng},
number = {1},
pages = {127-35},
title = {Remarks on the intrinsic inverse problem},
url = {http://eudml.org/doc/281690},
volume = {58},
year = {2002},
}

TY - JOUR
AU - Daniel Bertrand
TI - Remarks on the intrinsic inverse problem
JO - Banach Center Publications
PY - 2002
VL - 58
IS - 1
SP - 127
EP - 35
AB - 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.
LA - eng
KW - differential Galois group; inverse problem; Picard-Vessiot extension; Katz group
UR - http://eudml.org/doc/281690
ER -

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