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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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...
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Let X and Y be proper, normal, connected schemes over a field K, and let f : X → Y be a finite, flat K-morphism which is generically Galois (i.e., the extension of function fields K(Y ) ↪→ K(X) is Galois) with Galois group G. It is well-known that for the Zariski-open complement U ⊆ Y of the branch locus of f , the map f−1(U) → U is a (right) G-torsor. Thus, for any y ∈ U and x ∈ f−1(y), the ex...
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The genus spectrum of a finite group G is the set of all g such that G acts faithfully on a compact Riemann surface of genus g. It is an open problem to find a general description of the genus spectrum of the groups in interesting classes, such as the abelian p-groups. Motivated by the work of Talu [14] for odd primes p, we develop a general combinatorial machinery, for arbitrary primes, to obt...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2005
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2004.05.015