The irregularity of cyclic multiple planes after Zariski

Abstract : A formula for the irregularity of a cyclic multiple plane associated to a branch curve that has arbitrary singularities and is transverse to the line at infinity is established. The irregularity is expressed as a sum of superabundances of linear systems associated to some multiplier ideals of the branch curve and the proof rests on the theory of standard cyclic coverings. Explicit computations of multiplier ideals are performed and some applications are presented.
Type de document :
Pré-publication, Document de travail
The introduction was modified and the bibliography accordingly. 25 pages. 2006
Liste complète des métadonnées

Littérature citée [19 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-00021124
Contributeur : Daniel Naie <>
Soumis le : lundi 10 avril 2006 - 15:11:23
Dernière modification le : lundi 5 février 2018 - 15:00:03
Document(s) archivé(s) le : lundi 20 septembre 2010 - 13:57:18

Fichiers

Identifiants

Collections

Citation

Daniel Naie. The irregularity of cyclic multiple planes after Zariski. The introduction was modified and the bibliography accordingly. 25 pages. 2006. 〈hal-00021124v2〉

Partager

Métriques

Consultations de la notice

159

Téléchargements de fichiers

77