eprintid: 6961
rev_number: 9
eprint_status: archive
userid: 1
dir: disk0/00/00/69/61
datestamp: 2006-12-04 06:56:54
lastmod: 2015-04-21 15:29:58
status_changed: 2012-08-14 15:20:11
type: preprint
metadata_visibility: show
creators_name: Matzat, Bernd Heinrich
title: Iterative Differential Equations and Finite Groups
ispublished: pub
subjects: ddc-510
divisions: i-708000
keywords: Iterative Differentialgleichung , Iteratives Differentialmodul
cterms_swd: Algebraische Differentialgleichung/Endliche Gruppen
abstract: 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.
abstract_translated_lang: eng
class_scheme: msc
class_labels: 12H05
date: 2006
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00006961
portal_cluster_id: p-iwrpp
portal_order: 06961
ppn_swb: 1646175492
own_urn: urn:nbn:de:bsz:16-opus-69613
language: eng
bibsort: MATZATBERNITERATIVED2006
full_text_status: public
series: IWR-Preprints
citation:   Matzat, Bernd Heinrich  (2006) Iterative Differential Equations and Finite Groups.  [Preprint]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/6961/1/IDEFG.pdf