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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.05434 |
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Table of Contents:
- We construct a hyperplane section $Y$ of a Milnor hypersurface associated to a regular semisimple endomorphism $φ$. Exploiting its structure as a hyperplane section of a projective bundle and its natural torus action, we give a motivic decomposition of $Y$, which encodes both the cellular structure of $Y$ and the arithmetic of the eigenvalues of $φ$. This decomposition is proven without using the "nilpotence principle", that is to say there are no "phantoms".