L’application cotangente des surfaces de type général - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Geometriae Dedicata Année : 2009

L’application cotangente des surfaces de type général

(1)
1

Résumé

We study surfaces of general type S whose cotangent sheaf is generated by its global sections. We define a map called the cotangent map of S that enables us to understand the obstructions to the ampleness of the cotangent sheaf of S. These obstructions are curves on S that we call “non-ample”. We classify the surfaces with an infinite number of non-ample curves and we partly classify the non-ample curves.

Dates et versions

hal-03054043 , version 1 (11-12-2020)

Identifiants

Citer

Xavier Roulleau. L’application cotangente des surfaces de type général. Geometriae Dedicata, 2009, 142 (1), pp.151 - 171. ⟨10.1007/s10711-009-9364-3⟩. ⟨hal-03054043⟩
18 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook Twitter LinkedIn More