Titlebook: Complex Abelian Varieties; Herbert Lange,Christina Birkenhake Book 19921st edition Springer-Verlag Berlin Heidelberg 1992 Abelian varietie

Congestion

opprobrious

DEFER

CRANK

tic-douloureux

0072-7830 a line bundle, introduced by Mumford, and thecharacteristics, to be associated to any nondegenerate linebundle. They are a directgeneralization of the classicalnotion of characteristics of thetafunctions.978-3-662-02788-2Series ISSN 0072-7830 Series E-ISSN 2196-9701

玷污

Moduli Spaces of Abelian Varieties with Endomorphism Structure,lements of . represent isomorphic polarized abelian varieties with endomorphism structure. It turns out that, given (., .), there is a group .(., .) acting properly and discontinuously on ., such that the quotient .(., .) = ./.(., .) is a moduli space (in the sense of Chapter 8) for the polarized ab

蚊帐

Introduction, different constants .. If . = deg . is 1 or 2, an explicit integration by elementary functions is well known from calculus. If . = 3 or 4, integration is possible using elliptic functions. If however . ≥ 5, no explicit integration is known in general.

GRAZE

Complex Tori,. = ℂ./Λ with A a lattice in ℂ.. The complex torus . is a complex manifold of dimension .. It inherits the structure of a complex Lie group from the vector space ℂ.. A meromorphic function on ℂ., periodic with respect to Λ, may be considered as a function on .. An . is a complex torus admitting suff

Pastry

Line Bundles on Complex Tori,says that Pic(.) is an extension of the Néron-Severi group NS(.) by the group Hom(Λ, ℂ.) of characters of Λ with values in the circle group ℂ.. The group NS(.) turns out to be the group of hermitian forms . on . satisfying Im . (Λ, Λ) ⊆ ℤ. The theorem was proven for dimension 2 by Humbert [1] applyi

Tidious