Titlebook: Abelian Varieties; Serge Lang Textbook 1983 Springer-Verlag New York Inc. 1983 Abelian variety.Abelsche Varietät.Varieties.algebra.homomor

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Oliver Schütze,Carlos Hernándezy properties of algebraic groups, and we shall not need structure theorems, for instance. All the results which we shall need are stated explicitly below. We give no proofs in § 1. Granting IAG, a complete self-contained exposition can be found in the papers of Weil and Rosenlicht.

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Oliver Schütze,Carlos HernándezAn . is a group variety, which, as a variety, is complete. In the classical case, it is not difficult to show that topologically an abelian variety is a complex torus.

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https://doi.org/10.1007/978-3-322-88139-7In the last chapter we defined various equivalence relations, and we shall now determine the structure of the factor groups for these equivalence relations in the group of divisors of an abelian variety A. We have inclusions

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https://doi.org/10.1007/978-3-658-23456-0We first define the transpose of a homomorphism, i.e., the contravariant mapping induced on the Picard varieties. We prove that the transpose of an exact sequence (up to isogenies) is exact (up to isogenies).

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https://doi.org/10.1007/978-3-663-02318-0In this chapter we exploit the fact that for . prime to the characteristic there exist exactly . points of order . on an abelian variety . of dimension ..

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https://doi.org/10.1007/978-1-4419-8534-7Abelian variety; Abelsche Varietät; Varieties; algebra; homomorphism