Synopses & Reviews
An introduction to the theory of algebraic functions on varieties from a sheaf theoretic standpoint.
Review
"...the material is presented in a nice way; the author uses geometric language...recommended for graduate students who are interested in algebraic geometry." Gerhard Pfister, Mathematical Reviews
Review
"Excellent background for study of schemes." American Mathematical Monthly
Synopsis
In this book, Professor Kempf gives an introduction to the theory of algebraic varieties from a sheaf theoretic standpoint. By taking this view he is able to give a clean and lucid account of the subject, which will be easily accessible to all newcomers to algebraic varieties.
Synopsis
An introduction to the theory of algebraic varieties from a sheaf theoretic standpoint provides a clear account of the subject that is readily accessible to beginning students.
Description
Includes bibliographical references (p. [146]-148) and index.
Table of Contents
1. Algebraic varieties; 2. The preparation lemma; 3. Products: separated and complete varieties; 4. Sheaves; 5. Sheaves in algebraic geometry; 6. Smooth varieties and morphisms; 7. Curves; 8. Cohomology and the Riemann-Roch theorem; 9. General cohomology; 10. Applications; Appendices; Glossary; Index.