Algebraic Geometry

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.)


MIT Course Number


As Taught In

Fall 2015



Cite This Course

Course Description

Course Features

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 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.

Other Versions

Other OCW Versions

OCW has published multiple versions of this subject. Question_OVT logo

Related Content

Roman Bezrukavnikov. 18.725 Algebraic Geometry. Fall 2015. Massachusetts Institute of Technology: MIT OpenCourseWare, License: Creative Commons BY-NC-SA.

For more information about using these materials and the Creative Commons license, see our Terms of Use.