Algebraic Geometry OpenCourseWare: A Free MIT Graduate Study Course on Algebraic Geometry
MIT offers a free OpenCourseWare that provides an overview of algebraic geometry using algebraic varieties. The 'Algebraic Geometry' course covers basic topics in preparation for deeper study of algebraic schemes in subsequent courses. This graduate-level course is appropriate for students earning degrees in Mathematics. Some previous study in basic topology, differential geometry and commutative algebra is recommended.
Algebraic Geometry: Course Specifics
| Degree Level | Free | Audio | Video | Downloads |
|---|---|---|---|---|
| Graduate | Yes | No | No | Yes |
| Lectures/Notes | Study Materials | Tests/Quizzes |
|---|---|---|
| Yes | Yes | Yes |
Algebraic Geometry: Course Description
The proper study of algebraic geometry requires a complex understanding of the language of cohomology and schemes, which can prove to be intimidating to students new to the subject. Because of this, Professor Martin Olsson's 'Algebraic Geometry' course focuses on algebraic varieties, a more classical approach providing basic techniques. David Mumford's The Red Book of Varieties and Schemes is used for reference, particularly the first chapter and the discussion on the Jacobian of curves. Professor Olsson's original course is presented in a series of 19 lectures covering a range of topics, such as projective space, topological diversion, morphisms, Krull dimension and curves. The course is appropriate for graduate-level students studying a variety of topics in the field of Mathematics.
This OpenCourseWare includes lecture notes, problem sets and a final exam. If you are interested in this course, visit the algebraic geometry course page.
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