Wansu Kim

activity

20102022

most citedRapoport-Zink spaces of Hodge type

12 citations · 40 across the 11 of their papers we have counts for

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8 papers · 1 filter

math.NT2018★ 1 cited

On a refinement of the Birch and Swinnerton-Dyer Conjecture in positive characteristic

David Burns, Mahesh Kakde, Wansu Kim

We formulate a refined version of the Birch and Swinnerton-Dyer conjecture for abelian varieties over global function fields. This refinement incorporates both families of congruen…

math.NT2017

$l$ -adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients

Paul Hamacher, Wansu Kim

Let $(G, X)$ be a Shimura datum of Hodge type. Let $p$ be an odd prime such that $G_{Q_{p}}$ splits after a tamely ramified extension and $p\nmid |…

math.NT2015★ 9 cited

2-adic integral canonical models and the Tate conjecture in characteristic 2

Wansu Kim, Keerthi Madapusi Pera

We use E. Lau's classification of 2-divisible groups using Dieudonné displays to construct integral canonical models for Shimura varieties of abelian type at 2-adic places where th…

math.NT2015★ 11 cited

Local Shtukas, Hodge-Pink Structures and Galois Representations

Urs Hartl, Wansu Kim

We review the analog of Fontaine's theory of crystalline $p$ -adic Galois representations and their classification by weakly admissible filtered isocrystals in the arithmetic of fun…

math.NT2013★ 12 cited

Rapoport-Zink spaces of Hodge type

Wansu Kim

When $p > 2$ , we construct a Hodge-type analogue of Rapoport-Zink spaces under the unramifiedness assumption, as formal schemes parametrising "deformations" (up to quasi-isogeny) of…

math.NT2012★ 1 cited

The relative Breuil-Kisin classification of $p$ -divisible groups and finite flat group schemes

Wansu Kim

Assume that $p > 2$ , and let $O_{K}$ be a $p$ -adic discrete valuation ring with residue field admitting a finite $p$ -basis, and let $R$ be a formally smooth formally finite-t…

math.NT2010★ 5 cited

The classification of $p$ -divisible groups over 2-adic discrete valuation rings

Wausu Kim

Let $O_{K}$ be a 2-adic discrete valuation ring with perfect residue field $k$ . We classify $p$ -divisible groups and $p$ -power order finite flat group schemes over $\mathsc…

math.NT2010

Galois deformation theory for norm fields and flat deformation rings

Wansu Kim

Let $K$ be a finite extension of $Q_{p}$ , and choose a uniformizer $π \in K$ , and put $K_{\infty} := K (p^{\infty} π)$ . We introduce a new technique using restriction to $\Gal…

On a refinement of the Birch and Swinnerton-Dyer Conjecture in positive characteristic

l-adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients

2-adic integral canonical models and the Tate conjecture in characteristic 2

Local Shtukas, Hodge-Pink Structures and Galois Representations

Rapoport-Zink spaces of Hodge type

The relative Breuil-Kisin classification of p-divisible groups and finite flat group schemes

The classification of p-divisible groups over 2-adic discrete valuation rings

Galois deformation theory for norm fields and flat deformation rings

$l$ -adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients

The relative Breuil-Kisin classification of $p$ -divisible groups and finite flat group schemes

The classification of $p$ -divisible groups over 2-adic discrete valuation rings