Abundance for varieties with many differential forms

We prove that the abundance conjecture holds on a variety $X$ with mild singularities if $X$ has many reflexive differential forms with coefficients in pluricanonical bundles, assuming the Minimal Model Program in lower dimensions. This implies, for instance, that under this condition, hermitian sem...

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Bibliographic Details
Main Authors: Vladimir Lazić, Thomas Peternell
Format: Article
Language:English
Published: Association Epiga 2018-02-01
Series:Épijournal de Géométrie Algébrique
Subjects:
Online Access:https://epiga.episciences.org/3867/pdf