ON THE CHOW RING OF CERTAIN HYPERSURFACES IN A GRASSMANNIAN

被引：0

作者：

Laterveer, Robert ^{[1
]}

机构：

[1] Univ Strasbourg, Inst Rech Math Avancee, CNRS, 7 Rue Rene Descartes, F-67084 Strasbourg, France

来源：

MATEMATICHE | 2019年 / 74卷 / 01期

关键词：

Algebraic cycles; Chow ring; motives; hyperkahler varieties; Beauville "splitting property;

D O I：

10.4418/2019.74.1.6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This note is about Plucker hyperplane sections X of the Grassmannian Gr(3, V-10). Inspired by the analogy with cubic fourfolds, we prove that the only non-trivial Chow group of X is generated by Grassmannians of type Gr(3, W-6) contained in X. We also prove that a certain subring of the Chow ring of X (containing all intersections of positive-codimensional subvarieties) injects into cohomology.

引用

页码：95 / 108

页数：14

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