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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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    $\begingroup$ Mumford's "Lectures on curves on an algebraic surface" $\endgroup$ Mar 12, 2011 at 18:56
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    $\begingroup$ 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. $\endgroup$
    – Balazs
    Mar 12, 2011 at 19:00
  • $\begingroup$ The book of Polishchuk "Abelian Varieties, ..." is good. $\endgroup$ Jul 8, 2011 at 8:55

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