English

Rost nilpotence for twisted Milnor hypersurfaces

Algebraic Geometry 2025-10-09 v1

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 pp-canonical dimension for such varieties.

Keywords

Cite

@article{arxiv.2510.07095,
  title  = {Rost nilpotence for twisted Milnor hypersurfaces},
  author = {Charles De Clercq and Evan Marth and Kirill Zainoulline},
  journal= {arXiv preprint arXiv:2510.07095},
  year   = {2025}
}

Comments

3 pages

R2 v1 2026-07-01T06:24:07.632Z