On the birational p-adic section conjecture
نویسندگان
چکیده
منابع مشابه
ON THE BIRATIONAL p-ADIC SECTION CONJECTURE
In this manuscript we introduce/prove a Z/p meta-abelian form of the birational p-adic Section Conjecture for curves. This is a much stronger result than the usual p-adic birational Section Conjecture for curves, and makes an effective p-adic Section Conjecture for curves quite plausible.
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In this manuscript we generalize the Z/p metabelian birational p-adic Section Conjecture for curves, as introduced and proved in Pop [P2], to all complete smooth varieties. As a consequence one gets a minimalistic p-adic analog of the famous Artin–Schreier theorem on the Galois characterization of the orderings of fields.
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2010
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x09004436