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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。
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.
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.
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