Required Textbook

Buy at Amazon Mumford, David. The Red Book of Varieties and Schemes. Vol. 1358, Lecture Notes in Mathematics. New York: Springer-Verlag. ISBN: 354063293X.
Includes the Michigan Lectures (1974) on Curves and Their Jacobians.

Suggested Textbooks

Buy at Amazon Shafarevich, I. R., and M. Reid. Basic Algebraic Geometry I. 2nd revised and expanded ed. Berlin; New York: Springer-Verlag Telos. ISBN: 0387548122.

Buy at Amazon Hartshorne, Robin. Algebraic Geometry. New York: Springer-Verlag, 1977. ISBN: 0387902449.

Buy at Amazon Eisenbud, David. Commutative Algebra With a View Toward Algebraic Geometry. Vol. 150, Graduate Texts in Mathematics. New York: Springer-Verlag, 1994. ISBN: 0387942696.

Buy at Amazon Atiyah, M. F., and I. G. MacDonald. Introduction to Commutative Algebra. Reading, Mass.: Addison Wesley Publishing Company, 1969. ISBN: 0201407515.