Affiliation:
1. Institut Fourier, Université Grenoble Alpes, 38400 Saint-Martin-d’Hères, France
Abstract
Abstract
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 those admitting projectively flat Hermitian structures.
Funder
European Research Council
Publisher
Oxford University Press (OUP)
Reference35 articles.
1. Semi-classical properties of Berezin–Toeplitz operators with ${\mathcal{C}}^k$ck-symbol;Barron;J. Math. Phys.,2014
2. Complex Analysis and Algebraic Geometry;Beauville,2000
3. Curvature of vector bundles associated to holomorphic fibrations;Berndtsson;Ann. Math.,2009
4. Positivity of direct image bundles and convexity on the space of Kähler metrics;Berndtsson;J. Diff. Geom.,2009
5. Analytic torsion and holomorphic determinant bundles II. Direct images and Bott–Chern forms;Bismut;Comm. Math. Phys.,1988
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