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arXiv · 1611.09136

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

Gereon Quick
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Abstract

For every $n\ge 0$, we construct classes in the Brown-Peterson cohomology $BP\langle n \rangle$ 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.

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Gereon Quick. 2016-11-28. Examples of non-algebraic classes in the Brown-Peterson tower. https://doi.org/10.1007/s00209-018-2164-4

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