Construction of Arithmetic Teichmuller Spaces III: A `Rosetta Stone' and a proof of Mochizuki's Corollary 3.12
| Autor: | Joshi, Kirti |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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) establishes a `Rosetta Stone' for a parallel reading of Mochizuki's Inter-Universal Teichmuller Theory and my Theory of Arithmetic Teichmuller Spaces, and (3) a proof that Mochizuki's gluing of Hodge-Theaters, Frobenioids along prime-strips as described in his theory is naturally provided by the existence of Arithmetic Teichmuller Spaces. (4) Includes the geometric case of Mochizuki's Corollary 3.12 in \S 12. Comment: 163 Pages; Substantially expanded with several additions and other improvements: Intro is re-written; \S 2.1 is rewritten. New additions are as follows: \S 1.3, 1.7,1.9; \S 4.6 (Relationship with (global) period mapping); \S 8.2.2 (Role of geometric base-points). \S 12 Geometric case of Mochizuki's Corollary 3.12. Comments and correction are welcome! |
| Databáze: | arXiv |
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