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203C Spring 2014


Instructor: James McKernan

Office: APM 6260, Tel. (858) 534-6347

Email: jmckernan [at] math . ucsd .edu

Lectures: MW 1-2:20, APM 5829

Office hours: MW 2:30-3:15


COURSE DESCRIPTION

Places, Hilbert Nullstellensatz, varieties, product of varieties: correspondences, normal varieties. Divisors and linear systems; Riemann-Roch theorem; resolution of singularities of curves. Grothendieck schemes; cohomology, Hilbert schemes; Picard schemes.

Prerequisites: Math 200A-B-C. (F,W,S)

Text Book: Algebraic Geometry, by Hartshorne

Additional reading: There are a number of books all called Algebraic geometry by various authors: J. Harris; D. Mumford; I. Shafarevich. There are also a number of alternative books on schemes: The red book of schemes by D. Mumford; The geometry of schemes by D. Eisenbud and J. Harris.


RECENT UPDATE

[04.28.2014]  Hwk 4 due date moved back a week