Deformations of Saito-Kurokawa type and the Paramodular Conjecture (with an appendix by Cris Poor, Jerry Shurman, and David S. Yuen)

Tobias Berger, Krzysztof Klosin

We study short crystalline, minimal, essentially self-dual deformations of a mod $p$ non-semisimple Galois representation $\bar{\sigma }$ with $\barσ^{\rm ss}=χ^{k-2} \oplus ρ\oplus χ^{k-1…