# Why is Pic^0(C) of a curve C a variety?

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.

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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