Non-vanishing mod $p$ of derived Hecke algebras of multiplicative groups over number fields, II
Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Kwon, Jaesung
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222541162