Generalized Wilczynski invariants for non-linear ordinary differential equations

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dc.creatorDoubrov, Boris
dc.date2007-02-09
dc.date2007-04-05
dc.date.accessioned2026-07-07T09:51:55Z
dc.date.available2026-07-07T09:51:55Z
dc.descriptionWe show that classical Wilczynski--Se-ashi invariants of linear systems of ordinary differential equations are generalized in a natural way to contact invariants of non-linear ODEs. We explore geometric structures associated with equations that have vanishing generalized Wilczynski invariants and establish relationship of such equations with deformation theory of rational curves on complex algebraic surfaces.
dc.description18 pages; corrected typos, added reference
dc.identifierhttps://arxiv.org/abs/math/0702251
dc.identifierhttp://arxiv.org/abs/math/0702251
dc.identifierProceedings of the IMA summer program, Minneapolis, MN, USA, July 17--August 4, 2006. New York, NY: Springer. The IMA Volumes in Mathematics and its Applications 144, 25-40 (2008).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165414
dc.subjectDifferential Geometry
dc.subjectClassical Analysis and ODEs
dc.subject34A26; 53B15
dc.titleGeneralized Wilczynski invariants for non-linear ordinary differential equations
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