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arXiv · 2510.07095

Rost nilpotence for twisted Milnor hypersurfaces

Charles De Clercq·Evan Marth·Kirill Zainoulline
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Abstract

We show that the strong Rost nilpotence holds for motives of generic hyperplane sections of twisted Milnor hypersurfaces. Hence, we provide a new family of examples of smooth projective algebraic varieties which satisfy the strong Rost nilpotence principle. As an application, we compute the $p$-canonical dimension for such varieties.

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Charles De Clercq, Evan Marth, Kirill Zainoulline. 2025-10-08. Rost nilpotence for twisted Milnor hypersurfaces. https://arxiv.org/abs/2510.07095

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