论文标题

立方四倍的线表面的食物组

Chow groups of surfaces of lines in cubic fourfolds

论文作者

Huybrechts, Daniel

论文摘要

立方四倍的线的表面与固定线相交,并动机分为两部分,其中一部分类似于K3表面。我们定义了Beauville-Voisin类的类似物,并研究了Mingmin Shen和Charles Vial引入的Bloch-Bebeilinson过滤的自然分裂,研究了所有线条的推动图。

The surface of lines in a cubic fourfold intersecting a fixed line splits motivically into two parts, one of which resembles a K3 surface. We define the analogue of the Beauville-Voisin class and study the push-forward map to the Fano variety of all lines with respect to the natural splitting of the Bloch-Beilinson filtration introduced by Mingmin Shen and Charles Vial.

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