English

Reductions of Crystalline Representations for Small Weights

Number Theory 2024-10-03 v1

Abstract

We compute explicit reductions of crystalline representations of the absolute Galois group Gal(Qp/Qpf)\text{Gal}(\overline{\mathbb{Q}}_p/\mathbb{Q}_{p^f}) with labeled Hodge-Tate weights in the range p+2k02p4p+2\le k_{0}\le 2p-4 and 2kip32\le k_i\le p-3 for 1if11\le i\le f-1.

Keywords

Cite

@article{arxiv.2410.01563,
  title  = {Reductions of Crystalline Representations for Small Weights},
  author = {Anthony Guzman},
  journal= {arXiv preprint arXiv:2410.01563},
  year   = {2024}
}
R2 v1 2026-06-28T19:05:16.777Z