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

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書目名稱Complex Tori影響因子(影響力)




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adequate-intake

可用

Embeddings into Projective Space,not admit a projective embedding. We will show in this chapter that if (.) is a nondegenerate complex torus of dimension . and index ., then . admits a differentiable embedding into projective space which is holomorphic in . — . variables and antiholomorphic in . variables. For this choose a line bu

消散

Intermediate Jacobians, 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.

ORBIT

Families of Complex Tori,Section 1.9) every skew field of finite dimension over ? occurs as the endomorphism algebra of a complex torus. For nondegenerate complex tori the situation is completely different: The existence of a polarization . of index . on . gives strong restrictions for End.(.): The hermitian form . induces

GULP

The Parameter Spaces of Complex Tori with Endomorphism Structure,cial 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

GULP

Mystic

Headstrong

名詞

Nondegenerate Complex Tori,uch a hermitian form a .. (Note that in [G] . is called a .-convex polarization). If . is a polarization of index . on a complex torus ., we call the pair (., .) a .. In view of the definition of a pseudo-Riemannian manifold [He] one might be tempted to call (., .) a pseudo-abelian or semi-abelian v