2025/07/07 by Evan Marth, Marth, Evan · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.2507.05434
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".