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On universal stably free modules in positive characteristic
Published 1 Mar 2021 in math.AG and math.KT | (2103.00825v1)
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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