Inter-universal Teichmüller Theory I: Construction of Hodge Theaters
نویسندگان
چکیده
منابع مشابه
Inter-universal Teichmüller Theory I: Construction of Hodge Theaters
The present paper is the first in a series of four papers, the goal of which is to establish an arithmetic version of Teichmüller theory for number fields equipped with an elliptic curve — which we refer to as “inter-universal Teichmüller theory” — by applying the theory of semi-graphs of anabelioids, Frobenioids, the étale theta function, and log-shells developed in earlier papers by the autho...
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In the present paper, which is the second in a series of four papers, we study the Kummer theory surrounding the Hodge-Arakelovtheoretic evaluation — i.e., evaluation in the style of the scheme-theoretic HodgeArakelov theory established by the author in previous papers — of the [reciprocal of the l-th root of the] theta function at l-torsion points, for l ≥ 5 a prime number. In the first paper ...
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In the present paper, which is the second in a series of four papers, we study theKummer theory surrounding the Hodge-Arakelov-theoretic evaluation — i.e., evaluation in the style of the scheme-theoretic Hodge-Arakelov theory established by the author in previous papers — of the [reciprocal of the lth root of the] theta function at l-torsion points [strictly speaking, shifted by a suitable 2-to...
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The present paper forms the fourth and final paper in a series of papers concerning “inter-universal Teichmüller theory”. In the first three papers of the series, we introduced and studied the theory surrounding the log-theta-lattice, a highly non-commutative two-dimensional diagram of “miniature models of conventional scheme theory”, called Θ±ellNF-Hodge theaters, that were associated, in the ...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 2021
ISSN: 0034-5318
DOI: 10.4171/prims/57-1-1