Analytic Continuation of Holomorphic Mappings from Non minimal Hypersurfaces

被引：7

作者：

Kossovskiy, Ilya ^{[1
]}

Shafikov, Rasul ^{[1
]}

机构：

[1] Univ Western Ontario, Dept Math, London, ON N6A 5B7, Canada

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2013年 / 62卷 / 06期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Analytic continuation; holomorphic mappings; real hypersurfaces; nonminimal hypersurfaces; Segre varieties; Levi nondegeneracy; automorphism groups; REAL HYPERSURFACES; CORRESPONDENCES; DOMAINS; MAPS;

D O I：

10.1512/iumj.2013.62.5184

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the analytic continuation problem for a germ of a biholomorphic mapping from a nonminimal real hypersurface M subset of C-n into a real hyperquadric Q subset of CPn, and we prove that, under certain nondegeneracy conditions, any such germ extends locally biholomorphically along any path lying in the complement U \ X of the complex hypersurface X contained in M for an appropriate neighbourhood U superset of X. Using the monodromy representation for the multiple-valued mapping obtained by the analytic continuation, we establish a connection between nonminimal real hypersurfaces and singular complex ODEs.

引用

页码：1891 / 1916

页数：26

共 38 条

[31] A deep neural network framework with Analytic Continuation for predicting hypervelocity fragment flyout from satellite explosions
Larsen, Katharine E.
Tasif, Tahsinul H.
Bevilacqua, Riccardo
ACTA ASTRONAUTICA, 2025, 226 : 87 - 101
[32] Computation of ac responses of arbitrary electrode geometries from the corresponding secondary current distributions: A method based on analytic continuation
Emmanuel, Bosco
JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 2007, 605 (02) : 89 - 97
[33] Plateau inflation from random non-minimal coupling
Broy, Benedict J.
Coone, Dries
Roest, Diederik
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2016, (06):
[34] Uniqueness Problem for Level-1 Linearly Non-Degenerate Holomorphic Mappings Concerning HypersurfacesUniqueness Problem for Level-1 Linearly Non-Degenerate...H. T. Phuong et al.
Ha Tran Phuong
Vu Hoai An
Phommavong Chanthaphone
Complex Analysis and Operator Theory, 2025, 19 (5)
[35] Classification of Holomorphic Mappings of Hyperquadrics from C2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {C}^2$$\end{document} to C3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {C}^3$$\end{document}
Michael Reiter
The Journal of Geometric Analysis, 2016, 26 (2) : 1370 - 1414
[36] A transformation rule associated with P-\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$P-$$\end{document}extremal functions and holomorphic mappings
Menuja Perera
The Journal of Analysis, 2023, 31 (3) : 2097 - 2113
[37] Improving \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\alpha_{\rm QED} (M_Z^2)$\end{document} and the charm mass by analytic continuation
A.D. Martin
J. Outhwaite
M.G. Ryskin
The European Physical Journal C - Particles and Fields, 2001, 19 (4) : 681 - 691
[38] Estimates for the SVD of the Truncated Fourier Transform on L2(cosh(b|·|))\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^2(\cosh (b|\cdot |))$$\end{document} and Stable Analytic Continuation
Christophe Gaillac
Eric Gautier
Journal of Fourier Analysis and Applications, 2021, 27 (4)

← 1 2 3 4 →