Titlebook: Complex Abelian Varieties and Theta Functions; George R. Kempf Textbook 1991 Springer-Verlag Berlin Heidelberg 1991 Abelian varieties.Abel

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Chengcheng Wang,Hirotaka MatsuokaThe lattice . in a real or complex finite dimensional vector space . is a discrete subgroup such that the quotient group . is compact. The lattice . is a free Abelian group of rank equal to the real dimension of . and the induced mapping . ⊗. ℝ → . is an isomorphism and conversely.

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Sports Management and Sports HumanitiesLet (.) be A.-H. data for a complex torus .. Our objective is

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Bhaskar Basu,Michel Desbordes,Soumya SarkarLet . be an abelian variety. We will fix a decomposition . with respect to an ample invertible sheaf ℒ = ℒ (.) which is excellent. In this section we will consider a special case of the isogeny Theorem 5.7.

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Bhaskar Basu,Michel Desbordes,Soumya SarkarLet . be a real vector space of dimension 2. with a non-degenerate skew-symmetric form .. Recall the symplectic group Sym.(.) consists of all ℝ-linear transformations . of . such that . for all . and . in ..

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https://doi.org/10.1007/978-981-19-7010-8Let . be a complex torus and let . be a smooth connected variety. Let . be a fixed point of .. Let . be an analytic mapping. Then we have the pull-back mapping of differentials . : . = .) → .).

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