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.

edited Mar 12 2011 at 18:46

Thierry Zell
3,103●1●17●43

asked Mar 12 2011 at 18:43

andre
51●1

Mumford's "Lectures on curves on an algebraic surface" – David Lehavi Mar 12 2011 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 2011 at 19:00

Thanks a lot for these references! – andre Mar 25 2011 at 18:21

The book of Polishchuk "Abelian Varieties, ..." is good. – Kevin Lin Jul 8 2011 at 8:55

Browse other questions tagged ag.algebraic-geometry abelian-varieties definitions reference-request or ask your own question.

question feed