Riemann Roch: genus 3 curves
Channel: Richard E Borcherds
Date: 2020-09-24

This talk is about the Riemann-Roch theorem for genus 3 curves. We show that any such curve is either hyperelliptic or a nonsingular plane quartic. We find the Weierstrass points and the holomorphic 1-forms and the canonical divisors of these curves. Finally we give a brief description of the moduli space of genus 3 curves.