Generalized Wilczynski invariants for non-linear ordinary differential equations

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We 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.
18 pages; corrected typos, added reference

Keywords

Differential Geometry, Classical Analysis and ODEs, 34A26; 53B15

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/165414

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702251
 http://arxiv.org/abs/math/0702251
 Proceedings 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).

Collections

arXiv