Result: VOLUMES OF PICARD MODULAR SURFACES
Title:
VOLUMES OF PICARD MODULAR SURFACES
Authors:
Source:
Proceedings of the American Mathematical Society. 139(9):3045-3056
Publisher Information:
Providence, RI: American Mathematical Society, 2011.
Publication Year:
2011
Physical Description:
print, 23 ref
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, Généralités, histoire et biographie, General, history and biography, Mathématiques générales, General mathematics, Arithmétique, Arithmetics, Aritmética, Point rebroussement, Cusp, Cúspide, Variété complexe, Complex manifold, Variedad compleja, Variété mathématique, Manifold, Variedad matemática, 32M10, 32Q45, 32Qxx, Surface modulaire, Variété hyperbolique, Variété orbitale
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
DEPARTMENT OF MATHEMATICS, UNIVERSITY OF TEXAS AT AUSTIN, ONE UNIVERSITY STATION C1200, AUSTIN, TEXAS 78712-0257, United States
ISSN:
0002-9939
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.24424886
Database:
PASCAL Archive
Further Information
We show that the conjectural cusped complex hyperbolic 2-orbifolds of minimal volume are the two smallest arithmetic complex hyperbolic 2-orbifolds. We then show that every arithmetic cusped complex hyperbolic 2-manifold of minimal volume covers one of these two orbifolds. We also give all minimal volume manifolds that simultaneously cover both minimal orbifolds.