title: Iterative Differential Equations and Finite Groups
creator: Matzat, Bernd Heinrich
subject: ddc-510
subject: 510 Mathematics
description: It is an old question to characterize those differential equations or differential modules, respectively, whose solution spaces consist of functions which are algebraic over the base field. The most famous conjecture in this context is due to A. Gorthendieck and relates the algebraicity property with the p-curvature which apprears as the first integrability obstruction in characteristic p. Here we prove a variant of Grothendieck's conjecture for differential modules with vanishing higher integrability obstructions modulo p - these are iterative differential modules - and give some applications.
date: 2006
type: Preprint
type: info:eu-repo/semantics/preprint
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/6961/1/IDEFG.pdf
identifier: DOI:10.11588/heidok.00006961
identifier: urn:nbn:de:bsz:16-opus-69613
identifier:   Matzat, Bernd Heinrich  (2006) Iterative Differential Equations and Finite Groups.  [Preprint]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/6961/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng