It is natural to approach algebraic geometry by highlighting the way it connects algebra and analysis. Serre's GAGA theorem encapsulates this connection and provides the unifying theme for this book, which develops the modern machinery of algebraic geometry needed to give a proof, at a level accessible to undergraduates throughout.
It is natural to approach algebraic geometry by highlighting the way it connects algebra and analysis. Serre's GAGA theorem encapsulates this connection and provides the unifying theme for this book, which develops the modern machinery of algebraic geometry needed to give a proof, at a level accessible to undergraduates throughout.
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.
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.
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