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