On the singularities of the Szegő kernels on CR orbifolds

IF 1.2 3区数学 Q1 MATHEMATICS Journal of Geometry and Physics Pub Date : 2025-03-01 Epub Date: 2024-12-20 DOI:10.1016/j.geomphys.2024.105411

Andrea Galasso , Chin-Yu Hsiao

引用次数: 0

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.

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CR轨道上塞格格核的奇异性

本文研究了具有闭合范围的紧连通可定向CR轨道的塞格格核的微局域性质。如果某些几何条件成立，如在光滑情况下，则满足最后一个假设。此外，我们还解释了如何将量化交换的CR版本推广到轨道上。作为应用，给出了Kodaira-Bailey定理的纯解析证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Geometry and Physics 物理-物理：数学物理

CiteScore

2.90

自引率

6.70%

发文量

205

审稿时长

64 days

期刊介绍： The Journal of Geometry and Physics is an International Journal in Mathematical Physics. The Journal stimulates the interaction between geometry and physics by publishing primary research, feature and review articles which are of common interest to practitioners in both fields. The Journal of Geometry and Physics now also accepts Letters, allowing for rapid dissemination of outstanding results in the field of geometry and physics. Letters should not exceed a maximum of five printed journal pages (or contain a maximum of 5000 words) and should contain novel, cutting edge results that are of broad interest to the mathematical physics community. Only Letters which are expected to make a significant addition to the literature in the field will be considered. The Journal covers the following areas of research: Methods of: • Algebraic and Differential Topology • Algebraic Geometry • Real and Complex Differential Geometry • Riemannian Manifolds • Symplectic Geometry • Global Analysis, Analysis on Manifolds • Geometric Theory of Differential Equations • Geometric Control Theory • Lie Groups and Lie Algebras • Supermanifolds and Supergroups • Discrete Geometry • Spinors and Twistors Applications to: • Strings and Superstrings • Noncommutative Topology and Geometry • Quantum Groups • Geometric Methods in Statistics and Probability • Geometry Approaches to Thermodynamics • Classical and Quantum Dynamical Systems • Classical and Quantum Integrable Systems • Classical and Quantum Mechanics • Classical and Quantum Field Theory • General Relativity • Quantum Information • Quantum Gravity

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