Examples of non-algebraic classes in the Brown-Peterson tower

被引：1

作者：

Quick, Gereon ^{[1
]}

机构：

[1] NTNU, Dept Math Sci, N-7491 Trondheim, Norway

来源：

MATHEMATISCHE ZEITSCHRIFT | 2019年 / 293卷 / 1-2期

关键词：

INTEGRAL TATE-CONJECTURE; COHOMOLOGY; SPECTRA; CYCLES;

D O I：

10.1007/s00209-018-2164-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For every n >= 0, we construct classes in the Brown-Peterson cohomology BP < n > of smooth projective complex algebraic varieties which are not in the image of the cycle map from the corresponding motivic Brown-Peterson cohomology. This generalizes the examples of Atiyah and Hirzebruch to all finite levels in the Brown-Peterson tower.

引用

页码：25 / 37

页数：13

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