Tag Archives: Coleman

The eigencurve at the boundary

Let be a prime (assumed for simplicity), and fix a character . Let denote the -component of weight space, and let denote the -portion of the eigencurve (of whatever tame level ). For a point , write as shorthand for … Continue reading

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Hodge-Tate proliferation

Let be a complete algebraically closed extension, and let be an abelian variety, with p-adic Tate module and dual abelian variety . There are then at least three natural candidates for a “Hodge-Tate map” To wit: 1. (Scholze) For any … Continue reading

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