Direct Images and Hilbert Fields

2023/02/09 by Upadrashta, Pranav · 1 citation
#Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2302.04826

Abstract

In this article we undertake a careful study of the curvature operator of a field of Bergman spaces associated to a holomorphic fibration of Kähler manifolds. We focus on the case when the fibers are smoothly bounded pseudoconvex domains.

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