The Parameter Spaces of Complex Tori with Endomorphism Structure
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Let P denote the parameter space of one of the families of nondegenerate complex tori with endomorphism structure constructed in Chapter 5. In the special case of abelian varieties, P 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 P is a product of members of these (see [Sh] or [CAV], Chapter 9).
KeywordsHermitian Symmetric Space Flag Manifold Complex Projective Variety Imaginary Quadratic Field Complex Analytic Space
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