Titlebook: Complex Abelian Varieties; Christina Birkenhake,Herbert Lange Book 2004Latest edition Springer-Verlag Berlin Heidelberg 2004 Abelian varie

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0072-7830 The theory of abelian varieties originated in the beginning of the ninetheenth centrury with the work of Abel and Jacobi. The subject of this book is the theory of abelian varieties over the field of complex numbers, and it covers the main results of the theory, both classic and recent, in modern l

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Kathrin Steffen,Lars Engebretsen turns out to be the group of hermitian forms . on . satisfying Im . (., .) ⊆ 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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Richard A. Marder MD,George J. Lian MDutomorphisms of ℙ.. In fact, .(.) is the largest group of translations with this property. This leads to a projective representation .: .(.) → ..(ℂ), with respect to which the embedding .. is equivariant. It will be an important tool in the investigation of the geometric properties of the embedded abelian variety ..(.) in ℙ..

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Line Bundles on Complex Tori, turns out to be the group of hermitian forms . on . satisfying Im . (., .) ⊆ 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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