摘要翻译：
本文研究了Murre关于有理Chow群结构的猜想，并给出了具体的Chow-Kuenneth投影。更确切地说，我们研究的例子是具有nef切丛的变种。对于具有nef切丛的曲面和三重曲面，得到了满足Murre猜想的显式Chow-Kuenneth投影，并验证了motivic Hard Lefschetz定理。
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英文标题：
《Murre's conjectures and explicit Chow--Kuenneth projectors for some
  varieties》
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作者：
Jaya NN Iyer
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最新提交年份：
2007
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分类信息：

一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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一级分类：Mathematics        数学
二级分类：Commutative Algebra        交换代数
分类描述：Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics
交换环，模，理想，同调代数，计算方面，不变理论，与代数几何和组合学的联系
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英文摘要：
  In this paper, we investigate Murre's conjectures on the structure of rational Chow groups and exhibit explicit Chow--Kuenneth projectors for some examples. More precisely, the examples we study are the varieties which have a nef tangent bundle. For surfaces and threefolds which have a nef tangent bundle explicit Chow--Kuenneth projectors are obtained which satisfy Murre's conjectures and the motivic Hard Lefschetz theorem is verified.
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PDF链接：
https://arxiv.org/pdf/0706.1566