Corpus ID: 237502822

Bernstein eigenvarieties

  title={Bernstein eigenvarieties},
  author={Christophe Breuil and Yiwen Ding},
  • C. Breuil, Yiwen Ding
  • Published 14 September 2021
  • Mathematics
We construct parabolic analogues of (global) eigenvarieties, of patched eigenvarieties and of (local) trianguline varieties, that we call respectively Bernstein eigenvarieties, patched Bernstein eigenvarieties, and Bernstein paraboline varieties. We study the geometry of these rigid analytic spaces, in particular (generalizing results of Breuil-Hellmann-Schraen) we show that their local geometry can be described by certain algebraic schemes related to the generalized Grothendieck-Springer… Expand