21/06/23 22:52:07.11 IawCIofa.net
>>772-773
ありがとう、下記ですね
(>>7より)
URLﾘﾝｸ(www.math.arizona.edu) から Recent Research へ入る
URLﾘﾝｸ(arxiv.org)
URLﾘﾝｸ(arxiv.org)
Construction of Arithmetic Teichmuller Spaces and
some applications
Preliminary version for comments
Kirti Joshi
June 23, 2021
(抜粋)
1 Introduction
§ 1.1 In this note I construct some categories which can be called Arithmetic Teichmuller
Spaces. This construction is very broadly inspired by Shinichi Mochizuki’s ideas on Anabelian
Geometry, p-adic Teichmuller theory and his work on the abc-conjecture, but my approach is
based on a completely different set of ideas.
2 Acknowledgments
The theory presented here is inspired by Mochizuki’s work on anabelian geometry and on padic Teichmuller Theory so my intellectual debt to Shinichi Mochizuki cannot be overstated.
Notably this paper could not have existed without his work. I thank Peter Scholze for some
correspondence on early versions of Theorem 3.9.1 and Theorem 3.15.1. Thanks are due to
Yuichiro Hoshi for answering many of my elementary questions about tempered fundamental groups and [Mochizuki, 2021a,b,c,d]; also to Taylor Dupuy for many conversations about
[Mochizuki, 2021a,b,c,d]; he and Anton Hilado also provided early versions of his manuscripts
[Dupuy and Hilado, 2020b], [Dupuy and Hilado, 2020a] and [Dupuy, 2021]. I thank Kiran
Kedlaya for correspondence, comments and encouragement. Another expert with whom I corresponded, has chosen to remain anonymous, and our correspondence is acknowledged here.
I thank Jacob Stix for providing a correction to § 4.7 and for answering a question regarding [Schmidt and Stix, 2016]. I also thank Emmanuel Lepage for some correspondence in the
context of [Lepage, 2010].
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