Bernstein Eigenvarieties
نویسندگان
چکیده
We construct parabolic analogues of (global) eigenvarieties, patched eigenvarieties and (local) trianguline varieties, that we call respectively Bernstein paraboline varieties. study the geometry these rigid analytic spaces, in particular (generalizing results Breuil-Hellmann-Schraen) show their local can be described by certain algebraic schemes related to generalized Grothendieck-Springer resolution. deduce several local-global compatibility results, including a classicality result (with no assumption at $p$), new cases towards locally socle conjecture Breuil non-trianguline case.
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ژورنال
عنوان ژورنال: Peking mathematical journal
سال: 2023
ISSN: ['2524-7182', '2096-6075']
DOI: https://doi.org/10.1007/s42543-023-00062-8