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Mathematics > Complex Variables

Title: On the $L^2$ volume of Bergman spaces

Authors: Shengxuan Zhou
(Submitted on 19 Apr 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].
Comments: Comments are welcome!
Subjects: Complex Variables (math.CV); Differential Geometry (math.DG)
Cite as: arXiv:2404.12840 [math.CV]
  (or arXiv:2404.12840v1 [math.CV] for this version)

Submission history

From: Shengxuan Zhou [view email]
[v1] Fri, 19 Apr 2024 12:21:00 GMT (11kb)
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