Riemann Roch for genus 0 curves
Channel: Richard E Borcherds
Date: 2020-09-09

This lecture is about the Riemann_Roch theorem in the case of genus 0 curves. This is an easy warming up exercise for the harder cases of nonzero genus as we can work everything out explicitly. We verify the Riemann-Roch theorem for the projective line (or Riemann sphere), and then use the Riemann-Roch theorem to show that any compact Riemman surface of genus 0 is isomorphic to the Riemann sphere.

This video is based on a discussion section of an online algebraic geometry course.
For the first lecture of the full course see https://www.youtube.com/watch?v=JZKDmTIFR7A