Reductions of Crystalline Representations for Small Weights

Abstract

We compute explicit reductions of crystalline representations of the absolute Galois group $\text{Gal}({\overline{\mathbb{Q}}}_p/{\mathbb{Q}}_{p^f})$ with labeled Hodge-Tate weights in the range $p+2\le k_0\le 2p-4$ and $2\le k_i\le p-3$ for $1\le i\le f-1$.