Algebraic Geometry I
Wintersemester 2025/2026
Algebraic geometry is a branch of mathematics that combines algebra and geometry. Its main subject is the study of algebraic varieties, which can be understood as the solution sets of polynomial equations. The goal of this course is to introduce the language and fundamental concepts of algebraic geometry. Topics to be covered include affine and projective varieties and their morphisms, rational maps, smoothness, tangent spaces, and an introduction to the theory of sheaves and schemes.
Time and place:
Monday and Wednesday at 12-14 in Room A027.
Exercises: Thursday at 12-14 in B039, begins 23.10.
Exercise sheets:
Literature:
R. Hartshorne, Algebraic geometry.
Qing Liu, Algebraic geometry and arithmetic curves.