A lattice in a complex vector space ℂ g is by definition a discrete subgroup of maximal rank in ℂ g . It is a free abelian group of rank 2g. A complex torus is a quotient X = ℂ g / Λ with Λ a lattice in ℂ g . A complex torus is a complex manifold of dimension g. It inherits the structure of a complex Lie group from the vector space ℂ g . In this chapter we study some properties of complex tori without any additional structure.
KeywordsLine Bundle Abelian Variety Chern Class Period Matrice Complex Vector Space
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