— Algebraic Geometry

Prerequisites & course information

This version has ended; see updated course, below. Course Description: Affine varieties and radical ideals. Projective varieties. Abstract varieties. Morphisms and rational maps. Smoothness. Algebraic curves and the Riemann-Roch theorem. Special topics. Learning Activities: Lecture 3 hour(s), Extensive Problem Solving. Grade Mode: Letter. MAT 248A — Algebraic Geometry (4 units) Course Description: Affine varieties and radical ideals. Projective varieties. Abstract varieties. Morphisms and rational maps. Smoothness. Algebraic curves and the Riemann-Roch theorem. Special topics. Prerequisite(s): MAT 250A ; MAT 250B ; MAT 250C . Learning Activities: Lecture 3 hour(s), Extensive Problem Solving. Enrollment Restriction(s): Open to graduate students; open to undergraduate students with consent of instructor. Grade Mode: Letter. This course version is effective from, and including: Winter Quarter 2027. Learning Activities: Lecture 3 hour(s), Extensive Problem Solving. Grade Mode: Letter. MAT 248A — Algebraic Geometry (4 units) Course Description: Affine varieties and radical ideals. Projective varieties. Abstract varieties. Morphisms and rational maps. Smoothness. Algebraic curves and the Riemann-Roch theorem. Special topics. Prerequisite(s): MAT 250A ; MAT 250B ; MAT 250C . Learning Activities: Lecture 3 hour(s), Extensive Problem Solving. Enrollment Restriction(s): Open to graduate students; open to undergraduate students with consent of instructor. Grade Mode: Letter. This course version is effective from, and including: Winter Quarter 2027.