Math 8254: Algebraic Geometry

COURSE SYLLABUS

Spring 2008

CLASS MEETINGS: 2:30-3:20 M W F (VinH 313)

INSTRUCTOR: Sasha Voronov

OFFICE: VinH 324

PHONE: 624-0355

E-MAIL ADDRESS: voronov@umn.edu. You are welcome to use e-mail to send questions to me.

INTERNET: All class announcements and assignments will be posted on the class homepage http://www.math.umn.edu/~voronov/8254/index.html and NOT handed out in class.

OFFICE HOURS: Fri 3:30-5:00 p.m., and by appointment.

TEXT:  Algebraic Geometry by Robin Hartshorne, 1977. Available in print and on reserve in the Math Library.

CONTENT: In the Spring semester, we will study projective morphisms, sheaf cohomology, including Serre duality, divisors, curves and Jacobians, including the Riemann-Roch theorem and the Hurwitz formula, and relation to Analytic Geometry.

GETTING HELP:

REQUIREMENTS: : There will be homeworks every other week, but no exams.

GRADING: Based on your homework. Class participation may be taken into account. Grades will be assigned on curve. I expect you to put enough hard work to earn grades not lower than a B. The curve does not exclude the possibility of everybody getting A's, though, but this happens rather rarely.

IMPORTANT DATES:

January 22 - Spring semester classes begin.

March 17-21 - Spring break.

May 9 - Last day of instruction.