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61 名前:現代数学の系譜 雑談 古典ガロア理論も読む mailto:sage [2019/11/19(火) 13:53:15.26 ID:NP7FWnJl.net]
>>53

つづき

One important step of our reconstruction
algorithm consists of the construction of a global cyclotome [i.e., a cyclotome constructed from
a global Galois group] and a local‐global cyclotomic synchronization isomorphism [i.e., a suit‐
able isomorphism between a global cyclotome and a local cyclotome]. We also verify a certain
compatibility between our reconstruction algorithm and the reconstruction algorithm given by
S. Mochizuki concerning the etale fundamental groups of hyperbolic orbicurves of strictly Be‐
lyi type over number fields. Finally, we discuss acertain global mono‐anabelian log‐Frobenius
compatibility property satisfied by the reconstruction algorithm obtained in the present paper.
Contents
§0. Notations and Conventions
§1. Review of the Local Theory
§2. Reconstruction of the Additive Structure on an NF‐monoid
§3. Local‐global Cyclotomic Synchronization
§4. Reconstruction of the Additive Structure on a GSC‐Galois Pair
§5. Mono‐anabelian Reconstruction of Number Fields
§6. Global Mono‐anabelian {\rm Log}‐Frobenius Compatibility
(引用終り)
以上






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