On the $L^2$ volume of Bergman spaces
Complex Variables
2024-04-22 v1 Differential Geometry
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].
Cite
@article{arxiv.2404.12840,
title = {On the $L^2$ volume of Bergman spaces},
author = {Shengxuan Zhou},
journal= {arXiv preprint arXiv:2404.12840},
year = {2024}
}
Comments
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