Projective structures, neighborhoods of rational curves and Painlev'e equations
Résumé
We investigate the duality between local (complex analytic) projec- tive structures on surfaces and two dimensional (complex analytic) neighborhoods of rational curves having self-intersection +1. We study the analytic classification, existence of normal forms, pencil/fibration decomposition, infinitesimal symmetries. We deduce some transcendental result about Painlev'e equations.
| Origine | Fichiers produits par l'(les) auteur(s) |
|---|