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Beschreibung
Forming the basis of a second course in algebraic geometry, this book explains key ideas, each illustrated with abundant examples.
Forming the basis of a second course in algebraic geometry, this book explains key ideas, each illustrated with abundant examples.
Über den Autor
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: | 2016 |
---|---|
Fachbereich: | Allgemeines |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: | Kartoniert / Broschiert |
ISBN-13: | 9781107602724 |
ISBN-10: | 1107602726 |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: |
Eisenbud, David
Harris, Joe |
Hersteller: | Cambridge University Press |
Maße: | 254 x 178 x 34 mm |
Von/Mit: | David Eisenbud (u. a.) |
Erscheinungsdatum: | 14.04.2016 |
Gewicht: | 1,174 kg |
Über den Autor
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: | 2016 |
---|---|
Fachbereich: | Allgemeines |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: | Kartoniert / Broschiert |
ISBN-13: | 9781107602724 |
ISBN-10: | 1107602726 |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: |
Eisenbud, David
Harris, Joe |
Hersteller: | Cambridge University Press |
Maße: | 254 x 178 x 34 mm |
Von/Mit: | David Eisenbud (u. a.) |
Erscheinungsdatum: | 14.04.2016 |
Gewicht: | 1,174 kg |
Warnhinweis