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MATH 552. Algebraic Geometry I. 4 hours.

Basic commutative algebra, affine and projective varieties, regular and rational maps, function fields, dimension and smoothness, projective curves, schemes, sheaves, and cohomology, positive characteristic. Course Information: Prerequisite(s): Grade of C or better in MATH 516 and Grade of C or better in MATH 517; and graduate standing; or consent of the instructor.