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arXiv · 2103.00825

On universal stably free modules in positive characteristic

Eric Primozic
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Abstract

We study the mod $p$ motivic cohomology of homogeneous varieties such as $GL_{n}/GL_{r}$ or $Sp_{2n}/Sp_{2n-2}$ along with the action of the Steenrod operations, without restrictions on the characteristic of the base field. In particular, we prove that certain quotient maps do not admit sections.

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Eric Primozic. 2021-03-01. On universal stably free modules in positive characteristic. https://arxiv.org/abs/2103.00825

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