Projective structures and neighborhoods of rational curves

Abstract : We investigate the duality between local (complex analytic) projective 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.
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01567347
Contributeur : Frank Loray <>
Soumis le : mercredi 29 août 2018 - 09:48:27
Dernière modification le : samedi 1 septembre 2018 - 01:13:53

Identifiants

  • HAL Id : hal-01567347, version 3
  • ARXIV : 1707.07868

Citation

Maycol Falla Luza, Frank Loray. Projective structures and neighborhoods of rational curves. 2018. 〈hal-01567347v3〉

Partager

Métriques

Consultations de la notice

38

Téléchargements de fichiers

14