Algebraic Varieties

An introduction to the theory of algebraic functions on varieties from a sheaf theoretic standpoint.

G. Kempf (Author)

9780521426138, Cambridge University Press

Paperback, published 9 September 1993

176 pages
22.9 x 15.2 x 1 cm, 0.29 kg

"Excellent background for study of schemes." American Mathematical Monthly

In this book Professor Kempf gives an introduction to the theory of algebraic functions on 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, graduate students or experts from other fields alike. Anyone who goes on to study schemes will find that this book is an ideal preparatory text.

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.

Subject Areas: Algebraic geometry [PBMW]