Titlebook: Complex Abelian Varieties; Christina Birkenhake,Herbert Lange Book 2004Latest edition Springer-Verlag Berlin Heidelberg 2004 Abelian varie

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Toru Fukubayashi,Tetsuya Ogawa,Mako Fukano = ℂ./∧ with . 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 ., may be considered as a function on .. An. is a complex torus admitting suffic

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https://doi.org/10.1007/978-3-540-88590-0omplex torus to be an abelian variety. They were given by Riemann in the special case of the Jacobian variety of a curve (see Chapter 11). For the general statement we refer to Poincaré-Picard [1] and Frobenius [2], although it was apparently known to Riemann and Weierstraß. Another characterization

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Current Role for Ultrasonography,te dimensional ℚ-algebra. If moreover . is an abelian variety, any polarization . induces an anti-involution . ↦ .′ on ..(.), called the .. It is the adjoint operator with respect to the hermitian form .. (.).

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James R. A. Smith,Rouin Amirfeyze take a slightly naive point of view of the notion of “moduli space”: a . of abelian varieties with some additional structure means a complex analytic space or a complex manifold whose points are in some natural one to one correspondence with the elements of the set. We disregard uniqueness and fun

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Erin M. Dean MD,Susan N. Ishikawa MDre many books on elliptic curves, we do not say anything about them, but refer to Hulek [1] and the literature quoted there. This chapter deals with the next interesting case, namely abelian varieties of dimension two, called ..

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