Burt Totaro

Group Cohomology and Algebraic Cycles

• Gebundenes Buch

Produktbeschreibung

This book presents a coherent suite of computational tools for the study of group cohomology algebraic cycles.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 246
• Erscheinungstermin: 8. April 2014
• Englisch
• Abmessung: 235mm x 157mm x 19mm
• Gewicht: 557g
• ISBN-13: 9781107015777
• ISBN-10: 1107015774
• Artikelnr.: 40744031

Autorenporträt

Burt Totaro is a Professor of Mathematics at the University of California, Los Angeles. He was elected a Fellow of the Royal Society in 2009.

Inhaltsangabe

Preface
1. Group cohomology
2. The Chow ring of a classifying space
3. Depth and regularity
4. Regularity of group cohomology
5. Generators for the Chow ring
6. Regularity of the Chow ring
7. Bounds for p-groups
8. The structure of group cohomology and the Chow ring
9. Cohomology mod transfers is Cohen-Macaulay
10. Bounds for group cohomology and the Chow ring modulo transfers
11. Transferred Euler classes
12. Detection theorems for cohomology and Chow rings
13. Calculations
14. Groups of order p¿
15. Geometric and topological filtrations
16. The Eilenberg-Moore spectral sequence in motivic cohomology
17. The Chow-Künneth conjecture
18. Open problems.