Math 624, fall 2014

Algebraic Geometry

First semester graduate algebraic geometry. This course will provide an introduction to algebraic geometry from an algebraic (as opposed to analytic) point of view. It will discuss algebraic varieties and schemes, with an emphasis on curves. Notions such as sheaves, morphisms, divisors, and bundles will be discussed. This course is a prerequisite for Math 625, which will be offered the following semester and will go more in depth, discussing Riemann-Roch for curves and surfaces and using a cohomological framework.

Class schedule: Mon and Wed, 1:30-3pm in DRL 4N30, from Sept. 3 to Dec. 8, 2014, and some occasional meetings on Fridays at the same time and place (as announced). Note: Wed., Nov. 26 (day before Thanksgiving break) is a University Friday, and so there is no class that day. Extra classes on Oct. 3, Oct. 24, Nov. 7, Dec. 10; no class Oct. 27 and Oct. 29.

Main references:

There will be regular problem sets and one exam in class (but no final exam).

Homework assignments for Math 624

General information about the graduate mathematics program

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