Titlebook: Rational Points and Arithmetic of Fundamental Groups; Evidence for the Sec Jakob Stix Book 2013 Springer-Verlag Berlin Heidelberg 2013 14H3

intrinsic

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cumulative

小臼

Fragments of Non-abelian Tate–Poitou DualityThe most sophisticated tool to analyse local–global questions of cohomological nature in number theory is provided by the Tate–Poitou exact sequence and duality. Our interest in the fibres of the map . which is the central topic of this part, motivates the search for even fragments of a non-abelian generalization of the Tate–Poitou sequence.

upstart

Sections over Finite FieldsLet . be a finite field with . elements of characteristic .. The absolute Galois group . is profinite free and generated by the .th-power Frobenius .. Thus any extension of . splits, and does so most likely in an abundant number of inequivalent ways.

Largess

別名

The Fundamental Groupoidecial attention towards the effect of a .-structure in case of a variety . ∕ .. Galois invariant base points are discussed and related to the profinite Kummer map. In Sect. 2.6, we address the reformulation of the section conjecture in terms of higher étale homotopy theory.

anagen

The Space of Sections as a Topological Spacediscrete topological space, see Lemma 44, which allows important limit arguments in arithmetically relevant cases, see Lemma 48. The fundamental notion of a neighbourhood of a section is introduced and used to describe the decomposition tower of a section.

招待

Evaluation of Unitsection. At least for invertible functions this can be achieved via Kummer theory, see Definition 57, if we accept that the values will be taken in a certain completion of the multiplicative group of the ground field.

綁架

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