On abelian birational sections
نویسندگان
چکیده
منابع مشابه
On Abelian Birational
For a smooth and geometrically irreducible variety X over a field k of characteristic 0, the quotient of the absolute Galois group Gk(X) by the commutator subgroup of G k̄(X) projects onto Gk. We investigate the sections of this projection. We show that such sections correspond to “infinite divisions” of the elementary obstruction of Colliot-Thélène and Sansuc. If k is a number field and the Tat...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 2010
ISSN: 0894-0347
DOI: 10.1090/s0894-0347-10-00660-0