Forming the basis of a second course in algebraic geometry, this book explains key ideas, each illustrated with abundant examples.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
David Eisenbud is Professor of Mathematics at the University of California, Berkeley, and currently serves as Director of the Mathematical Sciences Research Institute. He is also a Director at Math for America, a foundation devoted to improving mathematics teaching.
Inhaltsangabe
Introduction 1. Introducing the Chow ring 2. First examples 3. Introduction to Grassmannians and lines in P3 4. Grassmannians in general 5. Chern classes 6. Lines on hypersurfaces 7. Singular elements of linear series 8. Compactifying parameter spaces 9. Projective bundles and their Chow rings 10. Segre classes and varieties of linear spaces 11. Contact problems 12. Porteous' formula 13. Excess intersections and the Chow ring of a blow-up 14. The Grothendieck-Riemann-Roch theorem Appendix A. The moving lemma Appendix B. Direct images, cohomology and base change Appendix C. Topology of algebraic varieties Appendix D. Maps from curves to projective space References Index.
Introduction 1. Introducing the Chow ring 2. First examples 3. Introduction to Grassmannians and lines in P3 4. Grassmannians in general 5. Chern classes 6. Lines on hypersurfaces 7. Singular elements of linear series 8. Compactifying parameter spaces 9. Projective bundles and their Chow rings 10. Segre classes and varieties of linear spaces 11. Contact problems 12. Porteous' formula 13. Excess intersections and the Chow ring of a blow-up 14. The Grothendieck-Riemann-Roch theorem Appendix A. The moving lemma Appendix B. Direct images, cohomology and base change Appendix C. Topology of algebraic varieties Appendix D. Maps from curves to projective space References Index.
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