Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, Epiciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
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.
https://hal.archives-ouvertes.fr/hal-00021124 Contributor : Daniel NaieConnect in order to contact the contributor Submitted on : Monday, April 10, 2006 - 3:11:23 PM Last modification on : Wednesday, October 20, 2021 - 3:18:51 AM Long-term archiving on: : Monday, September 20, 2010 - 1:57:18 PM
Daniel Naie. The irregularity of cyclic multiple planes after Zariski. L'Enseignement Mathématique , Zürich International Mathematical Society Publishing House, 2007, 53, pp.265-305. ⟨hal-00021124v2⟩