Semistable reduction of abelian varieties over extensions of small degree
نویسندگان
چکیده
منابع مشابه
Semistable Reduction for Abelian Varieties
The semistable reduction theorem for curves was discussed in Christian’s notes. In these notes, we will use that result to prove an analogous theorem for abelian varieties. After some preliminaries on semi-abelian varieties (to convince us that the notion is a robust one), we will review the notion of a semi-abelian scheme (introduced in Christian’s lecture), recall the statement of the semista...
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Let K be a finitely generated extension of Q and A a non-zero abelian variety over K. Let K̃ be the algebraic closure of K and Gal(K) = Gal(K̃/K) the absolute Galois group of K equipped with its Haar measure. For each σ ∈ Gal(K) let K̃(σ) be the fixed field of σ in K̃. We prove that for almost all σ ∈ Gal(K) there exist infinitely many prime numbers l such that A has a non-zero K̃(σ)-rational point ...
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Copyright and reuse: The Warwick Research Archive Portal (WRAP) makes this work of researchers of the University of Warwick available open access under the following conditions. This article is made available under the Creative Commons Attribution 4.0 International license (CC BY 4.0) and may be reused according to the conditions of the license. For more details see: A note on versions: The ver...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1998
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(98)80026-1