Group Cohomology and Algebraic Cycles
Group Cohomology and Algebraic Cycles
复制标题
群上同调和代数圈
DOI：
10.1017/cbo9781139059480
复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
B. Totaro
中科院分区：
文献类型：
--
作者：
B. Totaro
前言1.群上同调2.分类空间的Chow环3.深度与正则性4.群上同调的正则性5.Chow环的生成元6.Chow环的正则性7.p-群的界8.群上同调的结构和Chow环9.上同调模转移是Cohen-Macaulay 10.群上同调的界和Chow环模转移11.转移的欧拉类12.上同调和Chow环的检测定理13.计算14.p阶群15.几何和拓扑过滤16.模上同调中的Eilenberg-Moore序列17.Chow-kunneth猜想18.公开问题
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-Kunneth conjecture 18. Open problems.