ON THE VOLUME OF A LINE BUNDLE - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue International Journal of Mathematics Année : 2002

ON THE VOLUME OF A LINE BUNDLE

Résumé

Using a result of Fujita on approximate Zariski decompositions and the singular version of Demailly's holomorphic Morse inequalities as obtained by Bonavero, we express the volume of a line bundle in terms of the absolutely continuous parts of all the positive curvature currents on it, with a way to pick an element among them which is most homogeneous with respect to the volume. This enables us to introduce the volume of any pseudoeffective class on a compact Kähler manifold, and Fujita's theorem is then extended to this context.
Fichier principal
Vignette du fichier
0201031(1).pdf (221.71 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02105200 , version 1 (20-04-2019)

Identifiants

Citer

Sébastien Boucksom. ON THE VOLUME OF A LINE BUNDLE. International Journal of Mathematics, 2002, 13 (10), pp.1043-1063. ⟨10.1142/S0129167X02001575⟩. ⟨hal-02105200⟩
21 Consultations
115 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More