On the Deligne-Beilinson cohomology sheaves

被引：2
|
作者：
Barbieri-Viale, Luca [1 ]
机构：
[1] Univ Milan, Dipartimento Matemat F Enriques, Via C Saldini 50, I-20133 Milan, Italy
来源：
ANNALS OF K-THEORY | 2016年 / 1卷 / 01期
关键词：
K-theory; Hodge theory; algebraic cycles;
D O I：
10.2140/akt.2016.1.3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that the Deligne-Beilinson cohomology sheaves Hq+1 (Z(q)D) are torsion-free as a consequence of the Bloch-Kato conjectures as proven by Rost and Voevodsky. This implies that H-0(X, Hq+1 (Z(q)(D))) = 0 if X is unirational. For a surface X with p(g = 0) we show that the Albanese kernel, identified with H0 (X, H3 (Z(2)D)), can be characterized using the integral part of the sheaves associated to the Hodge filtration.
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页码：3 / 17
页数：15
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