Amnon Neeman

Algebraic and Analytic Geometry (eBook, PDF)

• Format: PDF

Produktbeschreibung

This textbook, for an undergraduate course in modern algebraic geometry, recognizes that the typical undergraduate curriculum contains a great deal of analysis and, by contrast, little algebra. Because of this imbalance, it seems most natural to present algebraic geometry by highlighting the way it connects algebra and analysis; the average student will probably be more familiar and more comfortable with the analytic component. The book therefore focuses on Serre's GAGA theorem, which perhaps best encapsulates the link between algebra and analysis. GAGA provides the unifying theme of the book: we develop enough of the modern machinery of algebraic geometry to be able to give an essentially complete proof, at a level accessible to undergraduates throughout. The book is based on a course which the author has taught, twice, at the Australian National University.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 13. September 2007
• Englisch
• ISBN-13: 9781139244336
• Artikelnr.: 38279513

Autorenporträt

Amnon Neeman is professor of mathematics at Australian National University. He is the author of the book Triangulated Categories.

Inhaltsangabe

Foreword
1. Introduction
2. Manifolds
3. Schemes
4. The complex topology
5. The analytification of a scheme
6. The high road to analytification
7. Coherent sheaves
8. Projective space - the statements
9. Projective space - the proofs
10. The proof of GAGA
Appendix. The proofs concerning analytification
Bibliography
Glossary
Index.