Schemes 48: The canonical sheaf

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This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne.

In this lecture we define the canonical sheaf, giev a survey of some applications (Riemann-Roch theorem, Serre duality, canonical embeddings, Kodaira dimension), and calculate it for some easy examples (projective space, nonsingular hypersurfaces).
  1. Richard E Borcherds
  2. Canonical sheaf
  3. Canonical bundle
  4. scheme
  5. algerbaic geometry
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Комментарии
Автор

Dear Professor Borcheds, you are amazing! Please continue the series if you can.

aleksandrkalinin
Автор

Dear Professor Borcheds, thank you so much for the amazing content. I would like to ask is there any chance you will continue the algebraic geometry series? i.e. part 3 with cohomology? It would be fantastic. Thank you.

boboryan