A motivic study of generalized Burniat surfaces

IF 0.4 4区数学 Q4 MATHEMATICS

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2018-11-01 DOI:10.1007/s12188-018-0198-5

Chris Peters

引用次数: 2

Abstract

Generalized Burniat surfaces are surfaces of general type with \(p_g=q\) and Euler number \(e=6\) obtained by a variant of Inoue’s construction method for the classical Burniat surfaces. I prove a variant of the Bloch conjecture for these surfaces. The method applies also to the so-called Sicilian surfaces introduced by Bauer et al. in (J Math Sci Univ Tokyo 22(2–15):55–111, 2015. arXiv:1409.1285v2). This implies that the Chow motives of all of these surfaces are finite-dimensional in the sense of Kimura.

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广义燃烧曲面的动力学研究

广义Burniat曲面是由Inoue构造经典Burniat曲面的一种变体得到的具有\(p_g=q\)和\(e=6\)欧拉数的一般曲面。我为这些曲面证明了布洛赫猜想的一个变体。该方法也适用于Bauer等人在《东京数学科学大学学报》22(2-15):55-111,2015中引入的所谓西西里曲面。arXiv:1409.1285v2)。这意味着所有这些表面的周氏动机在木村看来都是有限维的。

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

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The first issue of the "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" was published in the year 1921. This international mathematical journal has since then provided a forum for significant research contributions. The journal covers all central areas of pure mathematics, such as algebra, complex analysis and geometry, differential geometry and global analysis, graph theory and discrete mathematics, Lie theory, number theory, and algebraic topology.