RAPOPORT–ZINK UNIFORMIZATION OF HODGE-TYPE SHIMURA VARIETIES

Autor: WANSU KIM

Publikováno v: Forum of Mathematics, Sigma, Vol 6 (2018)

We show that the integral canonical models of Hodge-type Shimura varieties at odd good reduction primes admits ‘$p$-adic uniformization’ by Rapoport–Zink spaces of Hodge type constructed in Kim [Forum Math. Sigma6 (2018) e8, 110 MR 3812116].

Externí odkaz: https://doaj.org/article/0926bf888a314d9bbf122a3e282f7a62

2-ADIC INTEGRAL CANONICAL MODELS

Autor: WANSU KIM, KEERTHI MADAPUSI PERA

Publikováno v: Forum of Mathematics, Sigma, Vol 4 (2016)

We use 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 the level is hyperspecial.

Externí odkaz: https://doaj.org/article/4e0c825b2ad746fc988b4320e8165144

On $$\mathsf {G} $$-isoshtukas over function fields

Autor: Wansu Kim, Paul Hamacher

Publikováno v: Selecta Mathematica. 27

In this paper we classify isogeny classes of global$$\mathsf {G} $$G-shtukas over a smooth projective curve$$C/{\mathbb {F}}_q$$C/Fq(or equivalently$$\sigma $$σ-conjugacy classes in$$\mathsf {G} (\mathsf {F} \otimes _{{\mathbb {F}}_q} \overline{{\ma

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7f9420e46fe03ddf2d6af18abbbe5e44
https://doi.org/10.1007/s00029-021-00683-w

On central leaves of Hodge-type Shimura varieties with parahoric level structure

Autor: Wansu Kim

Publikováno v: Kim, W 2018, ' On central leaves of Hodge-type Shimura varieties with parahoric level structure ', MATHEMATISCHE ZEITSCHRIFT . https://doi.org/10.1007/s00209-018-2086-1

Kisin and Pappas constructed integral models of Hodge-type Shimura varieties with parahoric level structure at $p>2$, such that the formal neighbourhood of a mod~$p$ point can be interpreted as a deformation space of $p$-divisible group with some Tat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ece4679f14904de1453959149baa370
https://doi.org/10.1007/s00209-018-2086-1

$l$-adic \'etale cohomology of Shimura varieties of Hodge type with non-trivial coefficients

Autor: Paul Hamacher, Wansu Kim

Let $(\mathsf{G},\mathsf{X})$ be a Shimura datum of Hodge type. Let $p$ be an odd prime such that $\mathsf{G}_{\mathbb{Q}_p}$ splits after a tamely ramified extension and $p\nmid |\pi_1(\mathsf{G}^{\rm der})|$. Under some mild additional assumptions

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b68e8953cdbd969a526a69025e5d214e
http://arxiv.org/abs/1711.07123