Riemann Surfaces and their Genus - 2
Posted: Mon Jan 18, 2016 9:23 pm
- Let \( X \) be a compact (connected) Riemann surface of genus \( g_{X} = 0 \). Show that \( X \) is biholomorphic to the Riemann sphere.
- Let \( X \) be a compact (connected) Riemann surface of genus \( g_{X} = 1 \). Show that \( X \) is biholomorphic to a complex Torus.