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Jun 3, 2016 at 13:32 history edited David Loeffler CC BY-SA 3.0
Tiny correction to formula
Jan 21, 2010 at 17:35 vote accept Jonah Sinick
Jan 20, 2010 at 18:03 comment added Anweshi @Emerton. I had encountered the theta divisor in the book of Lange and Birkenhanke on complex abelian varieties and had imagined it to be an analytic construction. Going through your answer, it seems that it can indeed be made algebraic. Thanks for the explanation.
Jan 20, 2010 at 17:41 comment added Emerton Unless I am misunderstanding you, theta divisors are a general concept in the geometry of curves and their Jacobians which can be studied for curves over any field. (Of course, there are questions of rationality when the field is not algebraically close.)
Jan 20, 2010 at 17:16 comment added Anweshi @Emerton. This was very helpful. I have added the tag quadratic-reciprocity, accordingly. Have I understood correctly that the theta divisor makes sense only in the case of complex algebraic geometry?
Jan 20, 2010 at 17:12 history edited Emerton CC BY-SA 2.5
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Jan 20, 2010 at 6:23 history edited Emerton CC BY-SA 2.5
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Jan 20, 2010 at 3:06 history answered Emerton CC BY-SA 2.5