2022/08/07 by Andrea Galasso, Galasso, Andrea, Chin-Yu Hsiao +1
Mathematics · #32A25 (Primary) 57R18 #53D50 (Secondary) #Advanced Algebra and Geometry #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Geometry and complex manifolds #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.2208.03690
openalex publication_date 2022/08/07 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
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. As applications, we give a pure analytic proof of Kodaira-Bailey theorem and explain how to generalize a CR version of quantization commutes with reduction to orbifolds.