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Bibliographic Details
Main Author: Finski, Siarhei
Format: Preprint
Published: 2020
Subjects:
Online Access:https://arxiv.org/abs/2010.01839
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Table of Contents:
  • This paper is devoted to the study of the asymptotics of Monge-Ampère volumes of direct images associated with high tensor powers of an ample line bundle. We study the leading term of this asymptotics and provide a classification of bundles saturating the topological bound of Demailly. In the special case of high symmetric powers of ample vector bundles, this provides a characterization of vector bundles admitting projectively flat Hermitian structures.