Math Notes

University Mathematics

Algebraic Geometry

Overview Concept Intersection Theory on Surfaces Concept Blowing Up Concept Ruled Surfaces Concept Canonical Class $K_X$Concept Birational Geometry of Surfaces Theorem Hodge Index Theorem Theorem Castelnuovo's Rationality Criterion Theorem Noether's Formula Theorem Riemann–Roch for Surfaces Proof Proof of Hodge Index Theorem

Home/Algebraic Geometry/Surfaces

Surfaces

Surfaces

Concepts

Intersection Theory on Surfaces Blowing Up Ruled Surfaces Canonical Class $K_X$Birational Geometry of Surfaces

Theorems

Hodge Index Theorem Castelnuovo's Rationality Criterion Noether's Formula Riemann–Roch for Surfaces

Proofs

Proof of Hodge Index Theorem

Mathematics Lecture Notes