Required Textbook
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
Shafarevich, I. R., and M. Reid. Basic Algebraic Geometry I. 2nd revised and expanded ed. Berlin; New York: Springer-Verlag Telos. ISBN: 0387548122.
Hartshorne, Robin. Algebraic Geometry. New York: Springer-Verlag, 1977. ISBN: 0387902449.
Eisenbud, David. Commutative Algebra With a View Toward Algebraic Geometry. Vol. 150, Graduate Texts in Mathematics. New York: Springer-Verlag, 1994. ISBN: 0387942696.
Atiyah, M. F., and I. G. MacDonald. Introduction to Commutative Algebra. Reading, Mass.: Addison Wesley Publishing Company, 1969. ISBN: 0201407515.