Introduction. 1: Varieties. 2: Schemes. 3: Cohomology. 4: Curves. 5: Surfaces. Appendix A: Intersection Theory. B: Transcendental Methods. C: The Weil Conjectures. Bibliography. Results from Algebra. Glossary of Notations. Index.
"Enables the reader to make the drastic transition between the basic, intuitive questions about affine and projective varieties with which the subject begins, and the elaborate general methodology of schemes and cohomology employed currently to answer these questions."-MATHEMATICAL REVIEWS