Reductions Of Crystalline Representations Of Fractional Slope $<p-1$

Shalini Bhattacharya, Eknath Ghate, Ravitheja Vangala

Let $p$ be an odd prime and let $V_{k,a_p}$ be the two-dimensional crystalline representation of the Galois group of ${\mathbb{Q}}_p$ of weight $k\ge 2$ and parameter $a_p \in \ba…