Algebraic Geometry

Textbook

• Title: Basic Algebraic Geometry I (Springer Study Edition) (Paperback)
• Author: Igor R. Shafarevich
• Publisher: Springer-Verlag
• ISBN-10: 0387548122
• ISBN-13: 978-0387548128

Lecture Notes from Seminar

• Lecture notes (old series)
• Lecture notes (new series)

Topics (for the course)

• Algebraic curves in the plane
• Closed subsets of affine space
• Rational Functions
• Quasiprojective varieties
• Products and maps of quasiprojective varieties
• Singular and nonsingular points
• Power series expansions
• Properties of nonsingular points
• The structure of birational maps
• Normal varieties
• Singularities of a map
• Divisors and differential forms

Links

• Milne's Mathematics site
  Location of free texts on many areas of mathematics including Algebraic Geometry
• Main Macaulay 2 site
• Site for downloading Macaulay 2 (including Ubuntu packages)
• “Computations in algebraic geometry with Macaulay 2” (a book in pdf form)
• Hironaka's Theorem on Resolving Singularities
• Emacs for the Macintosh
• Emacs for windows