Abundance for Kähler threefolds

Frédéric Campana; Andreas Höring; Thomas Peternell

doi:10.24033/asens.2301

Journal Articles Annales Scientifiques de l'École Normale Supérieure Year : 2016

Abundance for Kähler threefolds

(1) , (2) , (3)

1
2
3

Frédéric Campana

Function : Author

Institut Élie Cartan de Lorraine

Andreas Höring

Function : Author
PersonId : 7959
IdHAL : andreas-hoering
IdRef : 112845835

Laboratoire Jean Alexandre Dieudonné

Thomas Peternell

Function : Author

Mathematisches Institut [Bayreuth]

Abstract

Let X be a compact Kähler threefold with terminal singularities such that KX is nef. We prove that KX is semiample, i.e., some multiple mKX is generated by global sections.

Keywords

log MMP cone theorem contraction theorem rational curves Zariski decomposition Kähler manifolds abundance.

Domains

Complex Variables [math.CV] Algebraic Geometry [math.AG]

Andreas Höring : Connect in order to contact the contributor

https://hal.univ-cotedazur.fr/hal-02529538

Submitted on : Thursday, April 2, 2020-1:04:48 PM

Last modification on : Friday, May 3, 2024-10:07:19 AM

Dates and versions

hal-02529538 , version 1 (02-04-2020)

Identifiers

HAL Id : hal-02529538 , version 1
DOI : 10.24033/asens.2301

Cite

Frédéric Campana, Andreas Höring, Thomas Peternell. Abundance for Kähler threefolds. Annales Scientifiques de l'École Normale Supérieure, 2016, 49 (4), pp.971-1025. ⟨10.24033/asens.2301⟩. ⟨hal-02529538⟩

Export

BibTeX XML-TEI Dublin Core DC Terms EndNote DataCite

Collections

CNRS IECN INSMI DIEUDONNE UNIV-LORRAINE UNIV-COTEDAZUR IDEX-UNIV-COTEDAZUR IECLGEO ANR

47 View

0 Download

Abundance for Kähler threefolds

Abstract

Keywords

Domains

Dates and versions

Identifiers

Cite

Export

Collections

Altmetric

Share