Math 214A: General Course Outline
Catalog Description 214A. Introduction to Algebraic Geometry. Requisite: course 215A (or 210ABC with permission of instructor). Affine and projective varieties. Irreducibility, dimension, singular and smooth points. Rational maps, curves, intersections in projective space. Schemes. Proper and finite morphisms. Coherent and quasi-coherent sheaves. Divisors, line bundles, ampleness.