Results 11 to 20 of about 537 (64)

RAPOPORT–ZINK UNIFORMIZATION OF HODGE-TYPE SHIMURA VARIETIES

Forum of Mathematics, Sigma, 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].
WANSU KIM
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Rational torsion points on Jacobians of modular curves

, 2015
Let $p$ be a prime greater than 3. Consider the modular curve $X_0(3p)$ over $\mathbb{Q}$ and its Jacobian variety $J_0(3p)$ over $\mathbb{Q}$. Let $\mathcal{T}(3p)$ and $\mathcal{C}(3p)$ be the group of rational torsion points on $J_0(3p)$ and the ...
Yoo, Hwajong
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Mod p points on shimura varieties of parahoric level

Forum of Mathematics, Pi
We study the $\overline {\mathbb {F}}_{p}$ -points of the Kisin–Pappas integral models of Shimura varieties of Hodge type with parahoric level. We show that if the group is quasi-split, then every isogeny class contains the reduction of a CM point,
Pol van Hoften
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F-zips with additional structure on splitting models of Shimura varieties

Forum of Mathematics, Sigma
We construct universal G-zips on good reductions of the Pappas-Rapoport splitting models for PEL-type Shimura varieties. We study the induced Ekedahl-Oort stratification, which sheds new light on the mod p geometry of splitting models.
Xu Shen, Yuqiang Zheng
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Vanishing theorems for the mod p cohomology of some simple Shimura varieties

Forum of Mathematics, Sigma, 2020
We show that the mod p cohomology of a simple Shimura variety treated in Harris-Taylor’s book vanishes outside a certain nontrivial range after localizing at any non-Eisenstein ideal of the Hecke algebra. In cases of low dimensions, we show the vanishing
Teruhisa Koshikawa
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Gonality of modular curves in characteristic p

, 2006
Let k be an algebraically closed field of characteristic p. Let X(p^e;N) be the curve parameterizing elliptic curves with full level N structure (where p does not divide N) and full level p^e Igusa structure. By modular curve, we mean a quotient of any X(
Poonen, Bjorn
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Minimal truncations of supersingular p-divisible groups

, 2006
Let k be an algebraically closed field of characteristic p>0. Let H be a supersingular p-divisible group over k of height 2d. We show that H is uniquely determined up to isomorphism by its truncation of level d (i.e., by H[p^d]).
Nicole, Marc-Hubert, Vasiu, Adrian
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Modularity of arithmetic special divisors for unitary Shimura varieties (with an appendix by Yujie Xu)

Forum of Mathematics, Sigma
We construct explicit generating series of arithmetic extensions of Kudla’s special divisors on integral models of unitary Shimura varieties over CM fields with arbitrary split levels and prove that they are modular forms valued in the arithmetic Chow ...
Congling Qiu, Yujie Xu
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2-ADIC INTEGRAL CANONICAL MODELS

Forum of Mathematics, Sigma, 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.
WANSU KIM, KEERTHI MADAPUSI PERA
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Unitary Friedberg–Jacquet periods and anticyclotomic p-adic L-functions

Forum of Mathematics, Sigma
We extend the construction of the p-adic L-function interpolating unitary Friedberg–Jacquet periods in previous work of the author to include the p-adic variation of Maass–Shimura differential operators.
Andrew Graham
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