Motives of Uniruled 3-Folds
Motives of Uniruled 3-Folds
复制标题
无规则三折的动机
DOI：
10.1023/a:1000333002671
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发表时间：
1996
影响因子：
1.8
通讯作者：
S. Muller
中科院分区：
文献类型：
--
作者：
P. Ángel;S. Muller
J. Murre推测，维数d的每一个光滑射影变量X都允许对角线δ=p$_0$+…+p$_2d$∈CH$^d$(X × X) [otimes] Q的分解，使得环p$_i$是正交的射影，它们提升了单位映射在<s:1>上同调中的第n个分量。如果这种分解引起X的Chow群上的本征过滤，我们称之为Murre分解。在本文中，我们提出了利用纤维结构的候选三层投影仪。利用Mori理论，我们证明了每一个光滑的无规则复三倍都允许Murre分解。
J. Murre has conjectured that every smooth projective variety X of dimension d admits a decomposition of the diagonal δ=p$_0$+…+p$_2d$ ∈ CH$^d$(X × X) [otimes ] Q such that the cycles p$_i$ are orthogonal projectors which lift the Künneth components of the identity map in étale cohomology. If this decomposition induces an intrinsic filtration on the Chow groups of X, we call it a Murre decomposition. In this paper we propose candidates for such projectors on 3-folds by using fiber structures. Using Mori theory, we prove that every smooth uniruled complex 3-fold admits a Murre decomposition.