18.725 | Fall 2015 | Graduate
Algebraic Geometry
Course Description
This is the first semester of a two-semester sequence on Algebraic Geometry. The goal of the course is to introduce the basic notions and techniques of modern algebraic geometry. It covers fundamental notions and results about algebraic varieties over an algebraically closed field; relations between complex algebraic …
This is the first semester of a two-semester sequence on Algebraic Geometry. The goal of the course is to introduce the basic notions and techniques of modern algebraic geometry. It covers fundamental notions and results about algebraic varieties over an algebraically closed field; relations between complex algebraic varieties and complex analytic varieties; and examples with emphasis on algebraic curves and surfaces. This course is an introduction to the language of schemes and properties of morphisms.
Learning Resource Types
notes Lecture Notes
assignment Problem Sets
co_present Instructor Insights
A gray sphere with black lines projecting from a single point on the sphere to a flat circle below.
This image illustrates in 3D a stereographic projection from the north pole onto a plane below the sphere. (Image from the public domain.)