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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Hyperbolic 2-spheres with cone singularities

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Author(s):
Anan'in, Sasha [1] ; Grossi, Carlos H. [1] ; Lee, Jaejeong [2] ; dos Reis Jr, Joao
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Dept Matemat, ICMC, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
[2] KIAS, 85 Hoegiro, Seoul 02455 - South Korea
Total Affiliations: 2
Document type: Journal article
Source: Topology and its Applications; v. 272, MAR 1 2020.
Web of Science Citations: 0
Abstract

We study the space C(a(0), a(1), ..., a(n)) of hyperbolic 2-spheres with cone points of prescribed apex curvatures 2a(0), 2a(1), ..., 2a(n) is an element of]0, 2 pi{[} and some related spaces. For n = 3, we get a detailed description of such spaces. The euclidean 2-spheres were considered by W. P. Thurston: for n = 4, the corresponding spaces provide the famous 7 examples of nonarithmetic compact holomorphic 2-ball quotients previously constructed by Deligne-Mostow. (C) 2020 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 15/25809-2 - Algebraic geometry, dynamics, and hyperbolic geometry
Grantee:Alexandre Ananin
Support Opportunities: Regular Research Grants
FAPESP's process: 14/26295-0 - New manifolds modelled on the holomorphic 2-ball
Grantee:João dos Reis Junior
Support Opportunities: Scholarships in Brazil - Scientific Initiation