三次四折线的曲面群

Pub Date : 2022-11-22 DOI:10.46298/epiga.2023.10425

D. Huybrechts

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引用次数: 0

摘要

与一条固定的线相交的三次四边形的线的表面动力地分裂成两部分，其中一部分类似于K3表面。我们定义了Beauville-Voisin类的类似物，并研究了关于由Mingmin Shen和Charles Vial引入的bloch - beilinson过滤的自然分裂的所有线的fano变化的前推图。

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Chow groups of surfaces of lines in cubic fourfolds

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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