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Author(s): |
Total Authors: 4
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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
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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 |