Abstract
For an elliptic curve E over the complex numbers C we have already observed in (7.3) of the Introduction that the group E(C) is a compact group isomorphic to the product of two circles. This assertion ignores the fact that there is a complex structure on E(C) coming from a representation as a quotient group C/L where L is a lattice in the complex plane, that is, a discrete subgroup on two free generators L = Zω1 + Zω2.
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© 1987 Springer Science+Business Media New York
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Husemöller, D. (1987). Elliptic and Hypergeometric Functions. In: Elliptic Curves. Graduate Texts in Mathematics, vol 111. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-5119-2_10
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DOI: https://doi.org/10.1007/978-1-4757-5119-2_10
Publisher Name: Springer, New York, NY
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