A pairing on the cuspidal eigenvariety for $\mathrm{GSp}_{2g}$ and the ramification locus
Number Theory
2021-06-08 v3
Abstract
In the present paper, we first construct a pairing on the space of analytic distributions associated with . By considering the overconvergent parabolic cohomology groups and following the work of Johansson--Newton, we construct the cuspidal eigenvariety for . The pairing on the analytic distributions then induces a pairing on some coherent sheaves of the cuspidal eigenvariety. As an application, we follow the strategy of Bella\"{i}che to study the ramification locus of the cuspidal eigenvariety over the corresponding weight space.
Cite
@article{arxiv.2005.04776,
title = {A pairing on the cuspidal eigenvariety for $\mathrm{GSp}_{2g}$ and the ramification locus},
author = {Ju-Feng Wu},
journal= {arXiv preprint arXiv:2005.04776},
year = {2021}
}