Schemes 48: The canonical sheaf
Channel: Richard E Borcherds
Date: 2020-08-16

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).