Algebraic Varieties [Paperback]

An introduction to the theory of algebraic functions on varieties from a sheaf theoretic standpoint.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.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.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.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. ...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 Excellent background for study of schemes. American Mathematical Monthly