ON TWO HIGHER CHOW GROUPS OF SCHEMES OVER A FINITE FIELD

被引：0

作者：

Kondo, Satoshi ^{[1
,2
]}

Yasuda, Seidai ^{[3
]}

机构：

[1] Natl Res Univ, Higher Sch Econ, Fac Math, Moscow 117312, Russia

[2] Univ Tokyo WPI, Inst Phys & Math, Tokyo, Japan

[3] Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 5608502, Japan

来源：

DOCUMENTA MATHEMATICA | 2015年 / 20卷

关键词：

higher Chow group; motivic cohomology; K-THEORY; ALGEBRAIC CYCLES; COHOMOLOGY; VARIETIES; THEOREM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a separated scheme X of finite type over a finite field, its higher Chow groups CH-1(X, 1) and CH-2(X, 3) are computed explicitly.

引用

页码：737 / 752

页数：16

共 21 条

[1]

Actin M., 1973, LECT NOTES MATH, V305

[2] Zero-cycles on varieties over finite fields [J].

Akhtar, R .

COMMUNICATIONS IN ALGEBRA, 2004, 32 (01) :279-294

[3] ALGEBRAIC CYCLES AND HIGHER K-THEORY [J].

BLOCH, S .

ADVANCES IN MATHEMATICS, 1986, 61 (03) :267-304

[4]

Geisser T, 2001, J REINE ANGEW MATH, V530, P55

[5] The K-theory of fields in characteristic p [J].

Geisser, T ;

Levine, M .

INVENTIONES MATHEMATICAE, 2000, 139 (03) :459-493

[6]

Geisser T, 2000, PROG MATH, V181, P299

[7] AFFINE OPEN SUBSETS OF ALGEBRAIC VARIETIES AND AMPLE DIVISORS [J].

GOODMAN, JE .

ANNALS OF MATHEMATICS, 1969, 89 (01) :160-&

[8]

GRAYSON DR, 1982, LECT NOTES MATH, V966, P69

[9] COHOMOLOGY OF S-ARITHMETIC GROUPS OVER FUNCTION FIELDS [J].

HARDER, G .

INVENTIONES MATHEMATICAE, 1977, 42 :135-175

[10]

HARTSHORNE R., 1970, LECT NOTES MATH, V156

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