Overview
Description
Introduction to algebraic geometry over an algebraically closed field, focusing on classical constructions with a modern perspective. Affine and projective varieties; Veronese and Segre maps; tangent spaces and dimension; singularities; abstract algebraic varieties; sheaf theory.
Requirements
Units
Lecture3
Catalog Details
Offering
Offered: Every Fall - Odd Years
Terms
fall
Attributes
Standard
Learning Outcomes
- analyze simple examples of algebraic varieties, and answer questions concerning their irreducible components and singularities.
- establish precise connections between commutative algebra and algebraic geometry.
- describe quasi-projective varieties as locally ringed spaces.