M 390 C Algebraic Geometry Spring, 2009

INSTRUCTOR: Felipe Voloch (RLM 9.122, ph.471-2674, )

CLASS HOURS AND LOCATION: (NOTE CHANGE!) MWF 1:00 -- 2:00, RLM 12.166

UNIQUE NUMBER: 57315

OFFICE HOURS: Wed 9:30 -- 11:00 or by appointment.

TEXTBOOK: K. Hulek, Elementary Algebraic Geometry, AMS 2003. Errata.

PREREQUISITES: Graduate Algebra. Contact me if you have any questions about prerequisites.

GRADE POLICY: A few problems will be assigned as homework. Students will also be asked to grade one of their classmates' homework.

HOMEWORK ASSIGNMENT: Do problem 3 of every chapter (including ch. 0). Due 04/10/09.

COURSE DESCRIPTION: Algebraic Geometry deals with sets of solutions of polynomial equations in several variables and various generalizations of this concept. It is a huge subject which has been central to major developments in modern Mathematics. This course will be a gentle introduction to the basic ideas of Algebraic Geometry. The plan is to cover the material in the textbook and, if time permits, give a proof of the Riemann-Roch theorem for curves.

Topics to be covered

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