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On the $L^2$ volume of Bergman spaces

Authors :
Zhou, Shengxuan
Publication Year :
2024

Abstract

In this paper, we show that the Calabi volume and Mabuchi volume of Bergman spaces on the product of a projective manifold and a projective space is infinite. Our result is inspired by a conjecture of Shiffman-Zelditch in [arXiv:2303.11559].<br />Comment: Comments are welcome!

Subjects

Subjects :
Mathematics - Complex Variables
Mathematics - Differential Geometry

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2404.12840
Document Type :
Working Paper

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