MA 56500, Fall 2026
Algebraic Geometry I

Credit Hours: 3.00. This is the first course in a two-semester introductory sequence in algebraic geometry. This first course focuses on the study of algebraic varieties over algebraically closed fields. Topics include affine and projective varieties, morphisms and rational maps, nonsingular varieties, lines on and intersection in projective space. Additional topics vary by semester and may include Luroth's theorem, elimination theory, Grassmannians, the 27 lines on a smooth cubic surface, and a first look at sheaves and schemes. Prerequisites: MA 55300, MA 55400, MA 57100, and MA 55700 (can be taken concurrently). MA 56200 and MA 57200 are helpful but not required.

Instructor Info

Section Room Time Instructor Office
001 SCHM 316 4:30PM TR Jaroslaw Wlodarczyk

Course Materials

Section Type Title Author
ALL TEXT Algebraic Geometry, Springer-Verlag, Graduate Texts in Mathematics 52, 1977 Robin Hartshorne

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