Torelli Theorem: Algebraic Geometry, Complex Number Field, Curve, Compact Riemann Surface

Riemann Roch Theorem: Complex Analysis, Algebraic Geometry

Bézout's Theorem: Algebraic Curve, Geometry, Degree of a Polynomial

Surface of General Type: Algebraic Geometry, Surface, Kodaira Dimension, Chow's Theorem

Mumford Vanishing Theorem: Algebraic Geometry, Iitaka Dimension, Complex Projective Manifold