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摘要翻译：
利用X中包含的L维平面的变化量F(X)研究了射影空间中超曲面X的有理系数周动。如果X的次足够小，则证明了X的动的本原部分是F(X)中适当完全交的动的直和与Lefschetz动的L次扭Q（-L）的张量积。
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英文标题：
《Motives of hypersurfaces of very small degree》
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作者：
Andre Chatzistamatiou
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最新提交年份：
2008
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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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英文摘要：
We study the Chow motive (with rational coefficients) of a hypersurface X in the projective space by using the variety F(X) of l-dimensional planes contained in X. If the degree of X is sufficiently small we show that the primitive part of the motive of X is the tensor product of a direct summand in the motive of a suitable complete intersection in F(X) and the l-th twist Q(-l) of the Lefschetz motive.
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PDF链接：
https://arxiv.org/pdf/0801.2494
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