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pro vyhledávání: '"TEICHMULLER spaces"'
Autor:
Krushkal, Samuel L.
This paper is the final step in solving the problem of starlikeness of Teichmuller spaces in Bers' embedding. This step concerns the case of finite dimensional Teichmuller spaces ${\mathbf T}(g, n)$ of positive dimension (corresponding to punctured R
Externí odkaz:
http://arxiv.org/abs/2407.18239
Autor:
Krushkal, Samuel L.
The problem of starlikeness of Teichmuller spaces in Bers' embedding was raised in 1974 and is solved (negatively) for Teichmuller spaces of sufficiently large dimensions. The original proof given by the author relies on the existence of conformally
Externí odkaz:
http://arxiv.org/abs/2405.15527
Autor:
Jin, Jianjun
In this paper, we introduce and study the integral means spectrum (IMS) functionals on Teichmuller spaces. We show that the IMS functionals on the closure of the universal Teichmuller space and on the asymptotic universal Teichmuller space are both c
Externí odkaz:
http://arxiv.org/abs/2405.07683
Autor:
Joshi, Kirti
This is a continuation of my work on Arithmetic Teichmuller Spaces developed in the present series of papers. In this paper, I show that the Theory of Arithmetic Teichmuller Spaces leads, using Shinichi Mochizuki's rubric, to a proof of the $abc$-con
Externí odkaz:
http://arxiv.org/abs/2403.10430
Autor:
Joshi, Kirti
This is a continuation of my work on Arithmetic Teichmuller Spaces (arXiv:2106.11452, arXiv:2210.11635, arXiv:2303.01662, arXiv:2305.10398). This paper establishes a number of important results including (1) a proof Mochizuki's Corollary 3.12 (2) est
Externí odkaz:
http://arxiv.org/abs/2401.13508
Akademický článek
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Autor:
Joshi, Kirti
This paper lays the foundation of the Theory of Arithmetic Teichmuller Spaces of Number Fields by explicitly constructing many arithmetically inequivalent avatars of a fixed number field. This paper also constructs a topological space of such avatars
Externí odkaz:
http://arxiv.org/abs/2305.10398
Akademický článek
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Autor:
Joshi, Kirti
This paper deals with consequences of the existence of Arithmetic Teichmuller spaces established in https://arxiv.org/abs/2106.11452 and https://arxiv.org/abs/2210.11635. Theorem~9.2.1 provides a proof of a local version of Mochizuki's Corollary~3.12
Externí odkaz:
http://arxiv.org/abs/2303.01662