Anthony August Albanese (1908–1994)

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منابع مشابه

Generalized Albanese morphisms

We define generalizations of the Albanese variety for a projective variety X. The generalized Albanese morphisms X albr // _ _ _ Albr(X) contract those curves C in X for which the induced morphism Hom(π1(X),U(r)) → Hom(π1(C),U(r)) has a finite image. Thus, they may be interpreted as a U(r)-version of the Shafarevich morphism.

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1-motivic Sheaves and the Albanese Functor

Using sheaf theoretic methods, we define functors Lπ0 : DMeff(k) → D(HI≤0(k)) and LAlb : DMeff(k) → D(HI≤1(k)). The functor LAlb extends the one in [3] to nonnecessarily geometric motives. These functors are then used to define higher Néron-Severi groups and higher Albanese sheaves.

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On Albanese Torsors and the Elementary Obstruction

If X is a principal homogeneous space, or torsor, under a semi-abelian variety A over a field k, one can naturally associate with it two integers which give a measure of its nontriviality: the index I(X), defined as the greatest common divisor of the degrees of the closed points of X, and the period P (X), which is the order of the class of X in the Galois cohomology group H1(k,A). The period d...

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ژورنال

عنوان ژورنال: The Journal of Nutrition

سال: 1997

ISSN: 0022-3166,1541-6100

DOI: 10.1093/jn/127.12.2270