On the singularities of the Szegő kernels on CR orbifolds
Journal
Journal of Geometry and Physics
Journal Volume
209
Start Page
105411
ISSN
0393-0440
Date Issued
2025-03
Author(s)
Andrea Galasso
Abstract
In this paper we study the microlocal properties of the Szegő kernel of a given compact connected orientable CR orbifold, whose Kohn Laplacian has closed range. This last assumption is satisfied if certain geometric conditions hold true, as in the smooth case. Furthermore, we explain how to generalize a CR version of quantization commutes with reduction to orbifolds. As an application, we give a pure analytic proof of Kodaira-Bailey theorem.
SDGs
Publisher
Elsevier BV
Type
journal article