18.725 Algebraic Geometry I
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.
This class has 18.705 as a corequisite.
18.725 will be offered this semester (Fall 2018). It is instructed by A. Pixton.
Lecture occurs 11:00 AM to 12:30 PM on Tuesdays and Thursdays in 2-147.
This class counts for a total of 12 credits.
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