English

Direct Images and Hilbert Fields

Complex Variables 2023-02-10 v1 Differential Geometry

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 K\"ahler manifolds. We focus on the case when the fibers are smoothly bounded pseudoconvex domains.

Cite

@article{arxiv.2302.04826,
  title  = {Direct Images and Hilbert Fields},
  author = {Pranav Upadrashta},
  journal= {arXiv preprint arXiv:2302.04826},
  year   = {2023}
}

Comments

39 Pages. Comments welcome!

R2 v1 2026-06-28T08:36:11.030Z