English

On the Bernstein--Zelevinsky classification in families

Number Theory 2022-07-13 v1

Abstract

We study the variation of admissible representations of pp-adic GLnGL_n in families from the point of view of the Bernstein--Zelevinsky classification and show that the ramified parts of these families are rigid. We explain how to apply our results in the context of GLnGL_n-eigenvarieties.

Cite

@article{arxiv.2207.05629,
  title  = {On the Bernstein--Zelevinsky classification in families},
  author = {Sam Mundy},
  journal= {arXiv preprint arXiv:2207.05629},
  year   = {2022}
}

Comments

14 pages

R2 v1 2026-06-25T00:51:13.272Z