MATH 214A

Main Course

Introduction to Algebraic Geometry

Description

Lecture, three hours. Requisite: course 215A (or 210A, 210B, and 210C with consent 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. S/U or letter grading.

Prerequisites

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  • Required: MATH 215A

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