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Timeline for Complex torus, C^n/Λ versus (C*)^n

Current License: CC BY-SA 2.5

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Aug 13, 2012 at 14:48 vote accept Jack Schmidt
Apr 6, 2010 at 16:16 comment added Simon Rose Correct. All Abelian varieties are diffeomorphic to S^1 x ... x S^1, and they all have the same group structure, at least over $\mathbb{C}$. I admit I don't know what happens over other fields.
Apr 6, 2010 at 16:13 comment added Jack Schmidt Ah, so the reason a complex torus might not be an abelian variety is not the abelian group part, it is the projective variety part.
Apr 6, 2010 at 16:07 history answered Simon Rose CC BY-SA 2.5