A local-global problem for linear differential equations

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dc.creatorvan der Put, Marius
dc.creatorReversat, Marc
dc.date2007-11-06
dc.date.accessioned2026-07-07T08:40:58Z
dc.date.available2026-07-07T08:40:58Z
dc.descriptionAn inhomogeneous linear differential equation Ly=f over a global differential field can have a formal solution for each place without having a global solution. The vector space lgl(L) measures this phenomenon. This space is interpreted in terms of cohomology of linear algebraic groups and is computed for abelian differential equations and for regular singular equations. An analogue of Artin reciprocity for abelian differential equations is given. Malgrange's work on irregularity is reproved in terms of cohomology of linear algebraic groups.
dc.identifierhttps://arxiv.org/abs/0711.0815
dc.identifierhttp://arxiv.org/abs/0711.0815
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141535
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.titleA local-global problem for linear differential equations
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