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Titlebook: Complex Abelian Varieties; Herbert Lange,Christina Birkenhake Book 19921st edition Springer-Verlag Berlin Heidelberg 1992 Abelian varietie

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Combinatorial Properties of Strength Groups,automorphisms of ℙ.. In fact, .(.) is the largest group of translations with this property. This leads to a projective representation ϱ:.(.) → PGL.(ℂ), with respect to which the embedding ϕ. is equiv-ariant. It will be an important tool in the investigation of the geometric properties of the embedded abelian variety ϕ.(.) in ℙ..
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https://doi.org/10.1007/978-3-540-75518-0., which by Torelli’s Theorem is injective. We thus obtain a 3. - 3 dimensional subvariety .(..) of .. For every point of .(..) one can interpret the geometry of the theta divisor in terms of the corresponding curve (see for example Riemann’s Singularity Theorem 11.2.5).
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Line Bundles on Complex Tori,oup NS(.) turns out to be the group of hermitian forms . on . satisfying Im . (Λ, Λ) ⊆ ℤ. The theorem was proven for dimension 2 by Humbert [1] applying a result of Appell [1] and by Lefschetz [1] in general. The present formulation appears in Weil [3] and Mumford [2].
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