Talk:Serre duality

Todo
A good source to look at is https://web.archive.org/web/20171010004106/https://wstein.org/hartnotes/hartnotes.pdf

Username6330 (talk) 00:30, 10 October 2017 (UTC)
 * Update notation on page to latex
 * Discuss definition of dualizing sheaf and include trace pairing
 * Give example computations of dualizing sheaves and Serre duality
 * Discuss applications to Hodge theory
 * Construct upper shriek in nice case
 * Special to the case of curves and discuss applications to Riemann-Roch (Compute dimension of the moduli space of curves?)
 * Motivate Grothendieck duality and the dualizing complex