Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Let $C$ be an abstract non-singular curve.

I'm having a hard time finding a reference for why $\text{Pic}^0(C)$ is a variety.

Any pointers towards a reference would be appreciated.

share|improve this question
Mumford's "Lectures on curves on an algebraic surface" –  David Lehavi Mar 12 '11 at 18:56
Milne's course on Abelian varieties gives the classical proof due to Weil. Another proof (using GIT) is in Mukai's book on Invariants and moduli. –  Balazs Mar 12 '11 at 19:00
Thanks a lot for these references! –  andre Mar 25 '11 at 18:21
The book of Polishchuk "Abelian Varieties, ..." is good. –  Kevin H. Lin Jul 8 '11 at 8:55

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.