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.
Rezensionen / Stimmen
"...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
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ISBN-13
978-1-107-10842-4 (9781107108424)
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Schweitzer Klassifikation
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.
