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arXiv · 2610.21278

Non-vanishing mod $p$ of derived Hecke algebras of multiplicative groups over number fields, II

Jaesung Kwon
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Abstract

We investigate the derived Hecke action on the cohomology of an arithmetic manifold associated to the multiplicative group over a number field. Under mild assumptions, we prove that the derived Hecke action is non-vanishing modulo $p$ in every degree. Moreover, the total cohomology ring with $\mathbb F_p$-coefficients is a free graded module of rank one over the derived Hecke algebra, generated in degree zero.

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Jaesung Kwon. 2026-10-15. Non-vanishing mod $p$ of derived Hecke algebras of multiplicative groups over number fields, II. https://arxiv.org/abs/2610.21278

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