Cohomology of $(\varphi, \tau)$-modules
Number Theory
2025-05-28 v3
Abstract
We construct cohomology theories for -modules, and study their relation with cohomology of -modules, as well as Galois cohomology. Our method is axiomatic, and can treat the \'etale case, the overconvergent case, and the rigid-overconvergent case simultaneously. We use recent advances in locally analytic cohomology as a key ingredient.
Cite
@article{arxiv.2402.02492,
title = {Cohomology of $(\varphi, \tau)$-modules},
author = {Hui Gao and Luming Zhao},
journal= {arXiv preprint arXiv:2402.02492},
year = {2025}
}
Comments
v3: final version. Changed section numberings and fixed some errors