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.
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页码：95 / 108
页数：14
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