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The crystalline period map is a tool for linearizing $p$-divisible groups. It has been applied to study the Langlands correspondences, and has possible applications to the homotopy groups of spheres. The original construction of the period map is inherently local. We present an alternative construction, giving a map on the entire moduli stack of $p$-divisbile groups, up to isogeny, which specializes to the original local construction.
Let G be a connected split reductive group over a complete discrete valuation ring of mixed characteristic. We use the theory of intermediate extensions due to Abe-Caro and arithmetic Beilinson-Bernstein localization to classify irreducible modules o
We consider stacks of filtered phi-modules over rigid analytic spaces and adic spaces. We show that these modules parametrize p-adic Galois representations of the absolute Galois group of a p-adic field with varying coefficients over an open substack
This is an improved version of the eprint previously entitled Unexpected isomorphisms between hyperkahler fourfolds. We study smooth projective hyperkahler fourfolds that are deformations of Hilbert squares of K3 surfaces and are equipped with a po
Let ${mathcal M}_{g,n}$ denote the moduli space of smooth, genus $ggeq 1$ curves with $ngeq 0$ marked points. Let ${mathcal A}_h$ denote the moduli space of $h$-dimensional, principally polarized abelian varieties. Let $ggeq 4$ and $hleq g$. If $F:{m
We provide a simple approach for the crystalline comparison of Ainf-cohomology, and reprove the comparison between crystalline and p-adic etale cohomology for formal schemes in the case of good reduction.