Real Submanifolds of \(\mathbf{C}^2\) With Singularities

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2023-09-05 DOI:10.1134/S1061920823030020

V. K. Beloshapka

引用次数: 0

Abstract

We consider real submanifolds of \(\mathbf{C}^2\) with singularities of three types: \(RC\)-singular 2 - dimensional surfaces, real quadratic cones, and hypersurfaces with degeneration of the Levi form. The holomorphic automorphisms of singular germs are evaluated. We also discuss resolution of singularities in the context of \(\mathit{CR}\) geometry.

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具有奇点的\(\mathbf{C}^2\)的实子流形

我们考虑了具有三种奇异性的\(\mathbf{C}^2\)的实子流形:\(RC\) -奇异二维曲面，实二次锥和Levi形式退化的超曲面。讨论了奇异胚的全纯自同构。我们还讨论了\(\mathit{CR}\)几何背景下奇点的解析。

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

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.