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Titlebook: Complex Tori; Christina Birkenhake,Herbert Lange Book 1999 Springer Science+Business Media New York 1999 Abelian variety.Algebra.Cohomolog

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Complex Tori978-1-4612-1566-0Series ISSN 0743-1643 Series E-ISSN 2296-505X
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https://doi.org/10.1007/978-3-030-29966-8 give their definitions, deduce some of their properties and see how they are related. We omit some of their most important aspects, for example the Abel-Jacobi map, which reflects the geometry of the manifold ., since here we are more interested in the complex tori.
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Stars, Fans, and Consumption in the 1950scial case of abelian varieties, . is a hermitian symmetric space. To be more precise, there are three series of irreducible hermitian symmetric spaces of the noncompact type CI (the Siegel upper half spaces), AIII, and DIII such that any . is a product of members of these (see [Sh] or [CAV], Chapter 9).
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Stars, Fans, and Consumption in the 1950s.,.,., etc. and their products. In Chapter 6 we showed that these parameter spaces are disjoint unions of finitely many flag domains. In particular every such space is of the form .. with classical group . and . ⊂ . a closed subgroup.
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https://doi.org/10.1007/978-3-030-29966-8. = ℂ./ Λ with Λ a lattice in ℂ.. A complex torus is a complex manifold of dimension .. It inherits the structure of a complex Lie group from the vector space ℂ.. In this chapter we study some properties of complex tori without any additional structure.
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