منابع مشابه
Formal Brauer groups and the moduli of abelian surfaces
Let X be an algebraic surface over an algebraically closed field k of characteristic p > 0. We denote by ΦX the formal Brauer group of X and by h = h(ΦX) the height of ΦX . In a previous paper, [6], we examined the structure of the stratification given by the height h in the moduli space of K3 surfaces, and we determined the cohomology class of each stratum. In this paper, we apply the methods ...
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I define the Brauer group of a field k as similarity classes of central simple algebras over k. Then I introduce non-abelean cohomology and use it to prove that the Brauer group is isomorphic to a certain cohomology group. Brauer groups show up in global class field theory.
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Throughout all groups are abelian. We say a group G is n-divisible if nG = G. If G has no non-zero n-divisible subgroups for all n>1 then we say that G is absolutely non-divisible. In the study of class C consisting all absolutely non-divisible groups such as G, we come across the sub groups T_p(G) = the sum of all p-divisible subgroups and rad_p(G) = the intersection of all p^nG. The proper...
متن کاملQuadratic Forms Over Fraction Fields of Two-dimensional Henselian Rings and Brauer Groups of Related Schemes
Let A be an excellent henselian two-dimensional local domain (for the definition of excellent rings, see [EGA IV2, 7.8.2]). Let K be its field of fractions and k its residue field. Assume that k is separably closed (of arbitrary characteristic). We show that the unramified Brauer group of K (with respect to all rank 1 discrete valuations of K) is trivial. Under some more restrictive conditions ...
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ژورنال
عنوان ژورنال: Annales scientifiques de l'École normale supérieure
سال: 1972
ISSN: 0012-9593,1873-2151
DOI: 10.24033/asens.1220