Abstract
Let be a local field of mixed characteristic , let be a finite extension of its residue field, let be the pro--Iwahori Hecke -algebra attached to for some . We construct an exact and fully faithful functor from the category of supersingular -modules to the category of -representations over . More generally, for a certain -algebra surjecting onto we define the notion of -supersingular modules and construct an exact and fully faithful functor from the category of -supersingular -modules to the category of -representations over .
Citation
Elmar Grosse-Klönne. "Supersingular Hecke modules as Galois representations." Algebra Number Theory 14 (1) 67 - 118, 2020. https://doi.org/10.2140/ant.2020.14.67
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