Math 624, fall 2020

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: Wed and Fri, 10:30-noon, on Zoom, from Sept. 2 to Dec. 9, 2020.

Main reference:

Other useful references:

  • "The Red Book of Varieties and Schemes" by David Mumford. Springer, Lecture Notes in Mathematics, volume 1358, 1974 and 1999.

  • "Algebraic Curves" by William Fulton. W.A. Benjamin (Benjamin/Cummings), 1969.

    There will be regular problem sets. Class participation is expected.

    Homework assignments for Math 624

    General information about the graduate mathematics program

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