Math 8253: Algebraic Geometry

COURSE SYLLABUS

Fall 2017

CLASS MEETINGS: MW 3:35-4:50 (Mechanical Engineering 102)

INSTRUCTOR: Sasha Voronov

OFFICE: VinH 324

PHONE: (612) 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-users.math.umn.edu/~voronov/8253/ and NOT handed out in class.

OFFICE HOURS (tentative): Mon 2:30-3:20, Wed 1:25-2:15, Thu 11:15-12:05 or by appointment.

TEXT:  Algebraic Geometry, 1st edition, 1977, by Robin Hartshorne. Available for purchase at the bookstore and online. There is also a hard copy on reserve at the Math Library. Another useful book is Vakil's The Rising Sea, free on the web.

CONTENT: In the Fall semester, we will cover the following topics: affine schemes, global schemes, cohomology (Čech and as a derived functor), differential forms, étale and smooth morphisms. This roughly corresponds to Chapters 2 and 3 of Hartshorne's textbook.

PREREQUISITE: Math 8202: General Algebra. Some familiarity with Commutative Algebra will be helpful.

GETTING HELP:

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

GRADING: Based on your homework. Class participation may be taken into account. Grades will be assigned on a 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:

September 6: First class meeting.

September 27: First homework due.

November 23-24: Thanksgiving Break.

December 13: Last class meeting.

Page created on 09/06/2017. Class time and place changed on 09/11/2017. Added that familiarity with Commutative Algebra would be a desirable prerequisite and changed office hours and the due date of the first homework and on 09/12/2017. Changed the due date of HW 1 again on 09/20/2017.