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Talk:Serre duality

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Todo

[edit]

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

  • 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

Username6330 (talk) 00:30, 10 October 2017 (UTC)[reply]