Treffer: HOLOMORPHIC MAPPINGS BETWEEN HYPERQUADRICS WITH SMALL SIGNATURE DIFFERENCE
Title:
HOLOMORPHIC MAPPINGS BETWEEN HYPERQUADRICS WITH SMALL SIGNATURE DIFFERENCE
Authors:
Source:
American journal of mathematics (Print). 133(6):1633-1661
Publisher Information:
Baltimore, MD: Johns Hopkins University Press, 2011.
Publication Year:
2011
Physical Description:
print, 1 p
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Fonctions de plusieurs variables complexes et espaces analytiques, Several complex variables and analytic spaces, Analyse fonctionnelle, Functional analysis, Généralités, histoire et biographie, General, history and biography, Mathématiques générales, General mathematics, Automorphisme, Automorphism, Automorfismo, Cible, Target, Blanco, Image, Imagen, Mappage, Mapping, Carta de datos, 32Hxx, 46T25, Application holomorphe, Holomorphic mapping
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
DEPARTMENT OF MATHEMATICS, UNIVERSITY OF CALIFORNIA AT SAN DIEGO, LA JOLLA, CA 92093-0112, United States
DEPARTMENT OF MATHEMATICS, RUTGERS UNIVERSITY - HILL CENTER FOR THE MATHEMATICAL SCIENCES 110 FRELINGHUYSEN RD., PISCATAWAY, NJ 08854-8019, United States
DEPARTMENT OF MATHEMATICS, RUTGERS UNIVERSITY - HILL CENTER FOR THE MATHEMATICAL SCIENCES 110 FRELINGHUYSEN RD., PISCATAWAY, NJ 08854-8019, United States
ISSN:
0002-9327
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.25249945
Database:
PASCAL Archive
Weitere Informationen
In this paper, we study holomorphic mappings sending a hyperquadric of signature ℓ in ℂn into a hyperquadric of signature ℓ in ℂN. We show (Theorem 1.1) that if the signature difference ℓ' -ℓ is not too large, then the mapping can be normalized by automorphisms of the target hyperquadric to a particularly simple form and, in particular, the image of the mapping is contained in a complex plane of a dimension that depends only on ℓ and ℓ', and not on the target dimension N. We also prove a Hopf Lemma type result (Theorem 1.3) for such mappings.