Tag Archives: p-divisible groups

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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Two questions

Question the first Let be the integer ring of a mixed characteristic local field . Fix an algebraic closure with absolute Galois group , and let be a Galois-stable -lattice in a crystalline representation of all of whose Hodge-Tate weights … Continue reading

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A p-divisible puzzle

Let be a completed algebraic closure of , and let be a p-divisible group. The Tate module of sits in a Hodge-Tate sequence . According to a recent theorem of Scholze-Weinstein, the map induces an equivalence of categories from the … Continue reading

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Fun with crystalline periods

The earliest results in what we now call p-adic Hodge theory are due to Tate and Sen, but nevertheless it seems reasonable to largely credit Fontaine for giving shape and direction to this subject and establishing it as a vital, … Continue reading

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