MIT Subject Listing & Schedule
Fall 2020 Search Results

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18.725 Algebraic Geometry I

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Prereq: None. Coreq: 18.705
Units: 3-0-9
Lecture: TR11-12.30 (VIRTUAL)

Introduces the basic notions and techniques of modern algebraic geometry. 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. Introduction to the language of schemes and properties of morphisms. Knowledge of elementary algebraic topology, elementary differential geometry recommended, but not required.
D. Maulik
No textbook information available

18.726 Algebraic Geometry II

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Prereq: 18.725
Units: 3-0-9

Continuation of the introduction to algebraic geometry given in 18.725. More advanced properties of the varieties and morphisms of schemes, as well as sheaf cohomology.
D. Maulik