Algebraic cycles and intersections of three quadrics

被引：5

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：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2022年 / 173卷 / 02期

关键词：

14C15; 14C25; 14C30; CHOW RING; MODULI SPACE;

D O I：

10.1017/S030500412100058X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Y be a smooth complete intersection of three quadrics, and assume the dimension of Y is even. We show that Y has a multiplicative Chow-Kunneth decomposition, in the sense of Shen-Vial. As a consequence, the Chow ring of (powers of) Y displays K3-like behaviour. As a by-product of the argument, we also establish a multiplicative Chow-Kunneth decomposition for double planes.

引用

页码：349 / 367

页数：19

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