Abstract
A lattice in a complex vector space ℂg is by definition a discrete subgroup of maximal rank in ℂg. It is a free abelian group of rank 2g. A complex torus is a quotient X = ℂg/ Λ with Λ a lattice in ℂg. A complex torus is a complex manifold of dimension g. It inherits the structure of a complex Lie group from the vector space ℂg. In this chapter we study some properties of complex tori without any additional structure.
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© 1999 Springer Science+Business Media New York
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Birkenhake, C., Lange, H. (1999). Complex Tori. In: Complex Tori. Progress in Mathematics, vol 177. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1566-0_1
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DOI: https://doi.org/10.1007/978-1-4612-1566-0_1
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7195-6
Online ISBN: 978-1-4612-1566-0
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