Algebraic cycles and Fano threefolds of genus 8

IF 0.5 4区数学 Q3 MATHEMATICS

Portugaliae Mathematica Pub Date : 2022-01-17 DOI:10.4171/pm/2069

Robert Laterveer

引用次数: 0

Abstract

We show that prime Fano threefolds $Y$ of genus 8 have a multiplicative Chow–Künneth decomposition, in the sense of Shen–Vial. As a consequence, a certain tautological subring of the Chow ring of powers of $Y$ injects into cohomology.

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8属的代数环和Fano三倍

在Shen-Vial意义上，我们证明了8属的素数Fano三倍$Y$具有乘法的chow - k n次分解。因此，$Y$幂的Chow环的一个同义子注入到上同调中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Portugaliae Mathematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： Since its foundation in 1937, Portugaliae Mathematica has aimed at publishing high-level research articles in all branches of mathematics. With great efforts by its founders, the journal was able to publish articles by some of the best mathematicians of the time. In 2001 a New Series of Portugaliae Mathematica was started, reaffirming the purpose of maintaining a high-level research journal in mathematics with a wide range scope.