On the $L^2$ volume of Bergman spaces

Published 19 Apr 2024 in math.CV and math.DG | (2404.12840v1)

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].

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Authors (1)

Shengxuan Zhou

References (1)

K.-W. Zhang: A quantization proof of the uniform Yau-Tian-Donaldson conjecture, J. Eur. Math. Soc. (2023).

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