David Eisenbud (Professor, University of California, Berkeley), Joe Harris (Professor, Harvard University, Massachusetts)

3264 and All That

• Broschiertes Buch

Produktbeschreibung

This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique so that the student develops the ability to solve geometric problems. It also contains abundant examples, exercises and solutions.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 634
• Erscheinungstermin: 14. April 2016
• Englisch
• Abmessung: 254mm x 178mm x 34mm
• Gewicht: 1182g
• ISBN-13: 9781107602724
• ISBN-10: 1107602726
• Artikelnr.: 44826902

Autorenporträt

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.