Steenrod operations in Chow theory

被引：54

作者：

Brosnan, P ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90024 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 355卷 / 05期

关键词：

D O I：

10.1090/S0002-9947-03-03224-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An action of the Steenrod algebra is constructed on the mod p Chow theory of varieties over a field of characteristic different from p, answering a question posed in Fulton's Intersection Theory. The action agrees with the action of the Steenrod algebra used by Voevodsky in his proof of the Milnor conjecture. However, the construction uses only basic functorial properties of equivariant intersection theory.

引用

页码：1869 / 1903

页数：35

共 11 条

[1]

[Anonymous], I HAUTES ETUDES SCI

[2] VERSAL DEFORMATIONS AND ALGEBRAIC STACKS [J].

ARTIN, M .

INVENTIONES MATHEMATICAE, 1974, 27 (03) :165-189

[3]

Edidin D, 1998, INVENT MATH, V131, P595, DOI 10.1007/s002220050214

[4]

Fulton W., 1998, INTERSECTION THEORY

[5] INTERSECTION THEORY ON ALGEBRAIC STACKS AND Q-VARIETIES [J].

GILLET, H .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1984, 34 (2-3) :193-240

[6]

KAWAI S, 1977, COMPLEX ANAL ALGEBRA, P375

[7]

Milnor J., 1974, ANN MATH STUDIES, V76

[8]

Steenrod N. E., 1962, Cohomology operations

[9]

Totaro Burt, 1999, Proc. Sympos. Pure Math., V67, P249, DOI [DOI 10.1090/PSPUM/067/1743244, 10.1090/pspum/067/1743244]

[10]

VOEVODSKY V, MILNOR CONJECTURE K

← 1 2 →