论文标题

在Monge-ampère卷上直接图像

On Monge-Ampère volumes of direct images

论文作者

Finski, Siarhei

论文摘要

本文致力于研究与富含线条捆绑的高张量功率相关的Monge-ampère卷的渐近图。我们研究了该渐近学的主要术语,并提供了捆绑的分类,使Demailly的拓扑结构饱和。在充足的矢量束的高对称能力的特殊情况下,这提供了矢量束的特征,该载体束在投影平坦的Hermitian结构中承认。

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.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源