代数循环与三次曲线的交点

IF 0.6 3区数学 Q3 MATHEMATICS

Mathematical Proceedings of the Cambridge Philosophical Society Pub Date : 2021-08-19 DOI:10.1017/S030500412100058X

R. Laterveer

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引用次数: 6

摘要

摘要:设Y为三个二次曲面的光滑完全交，并设Y的维数为偶。在Shen-Vial的意义上，我们证明Y具有乘法的chow - k n次分解。因此，Y的(幂)周氏环表现出类似k3的行为。作为论证的副产品，我们还建立了双平面的乘法周-克第n次分解。

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Algebraic cycles and intersections of three quadrics

Abstract 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–Künneth 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–Künneth decomposition for double planes.

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来源期刊

Mathematical Proceedings of the Cambridge Philosophical Society 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Papers which advance knowledge of mathematics, either pure or applied, will be considered by the Editorial Committee. The work must be original and not submitted to another journal.