Riemann Roch: structure of genus 1 curves

Richard E Borcherds
Richard E Borcherds
2.1 هزار بار بازدید - 4 سال پیش - This talk is about the
This talk is about the Riemann Roch theorem in the spacial case of genus 1 curves or Riemann surface. We show that a compact Riemann surface
satisfying the Riemann Roch theorem for g=1 is isomorphic to a nonsingular plane cubic. We show that this is topologically a torus, and use this to show that it can be represented as C/L for a lattice.

This video is based on a discussion section of an online algebraic geometry course.
For the first lecture of the full course see Algebraic geometry 1 Introduction
4 سال پیش در تاریخ 1399/06/26 منتشر شده است.
2,107 بـار بازدید شده
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