Pure motives with representable Chow groups

被引：11

作者：

Vial, Charles ^{[1
]}

机构：

[1] Univ Cambridge, DPMMS, Cambridge CB3 0WB, England

来源：

COMPTES RENDUS MATHEMATIQUE | 2010年 / 348卷 / 21-22期

基金：

英国工程与自然科学研究理事会;

关键词：

SURJECTIVITY; CYCLES;

D O I：

10.1016/j.crma.2010.10.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k be an algebraically closed field We show using Kahn s and Sujatha s theory of birational motives that a Chow motive over k whose Chow groups are all representable (in the sense of Definition 2 1) belongs to the full and thick subcategory of motives generated by the twisted motives of curves (C) 2010 Academie des sciences Published by Elsevier Masson SAS All rights reserved

引用

页码：1191 / 1195

页数：5

共 50 条

[1] Motives and filtrations on Chow groups
Saito, S
INVENTIONES MATHEMATICAE, 1996, 125 (01) : 149 - 196
[2] Motives and filtrations on Chow groups, II
Saito, S
ARITHMETIC AND GEOMETRY OF ALGEBRAIC CYCLES, 2000, 548 : 321 - 346
[3] Chow groups and L-derivatives of automorphic motives for unitary groups
Li, Chao
Liu, Yifeng
ANNALS OF MATHEMATICS, 2021, 194 (03) : 817 - 901
[4] Chow groups and L-derivatives of automorphic motives for unitary groups, II
Li, Chao
Liu, Yifeng
FORUM OF MATHEMATICS PI, 2022, 10
[5] Chow motives versus noncommutative motives
Tabuada, Goncalo
JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2013, 7 (03) : 767 - 786
[6] On Chow motives of surfaces
Gille, Stefan
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2014, 686 : 149 - 166
[7] Chow motives without projectivity
Wildeshaus, Joerg
COMPOSITIO MATHEMATICA, 2009, 145 (05) : 1196 - 1226
[8] Motives and chow groups of quadrics with application to the u-invariant (after Oleg!Izhboldin)
Karpenko, NA
GEOMETRIC METHODS IN THE ALGEBRAIC THEORY OF QUADRATIC FORMS, 2004, 1835 : 103 - 129
[9] CHOW MOTIVES OF GENUS ONE FIBRATIONS
Kawabe, Daiki
arXiv, 2022,
[10] Higher Tate traces of Chow motives
De Clercq, Charles
Queguiner-Mathieu, Anne
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2024, 2024 (815): : 1 - 22

← 1 2 3 4 5 →