Results 21 to 30 of about 537 (64)
FINE DELIGNE–LUSZTIG VARIETIES AND ARITHMETIC FUNDAMENTAL LEMMAS
Forum of Mathematics, Sigma, 2019 We prove a character formula for some closed fine Deligne–Lusztig varieties. We apply it to compute fixed points for fine Deligne–Lusztig varieties arising from the basic loci of Shimura varieties of Coxeter type.
XUHUA HE, CHAO LI, YIHANG ZHU
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Semi-stable and splitting models for unitary Shimura varieties over ramified places. I.
Forum of Mathematics, SigmaWe consider Shimura varieties associated to a unitary group of signature $(n-s,s)$ where n is even. For these varieties, we construct smooth p-adic integral models for $s=1$ and regular p-adic integral models for $s=2$ and $s=3$
Ioannis Zachos, Zhihao Zhao
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COMPACTIFICATIONS OF PEL-TYPE SHIMURA VARIETIES IN RAMIFIED CHARACTERISTICS
Forum of Mathematics, Sigma, 2016 We show that, by taking normalizations over certain auxiliary good reduction integral models, one obtains integral models of toroidal and minimal compactifications of PEL-type Shimura varieties which enjoy many features of the good reduction theory ...
KAI-WEN LAN
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COMPACTIFICATIONS OF SUBSCHEMES OF INTEGRAL MODELS OF SHIMURA VARIETIES
Forum of Mathematics, Sigma, 2018 We study several kinds of subschemes of mixed characteristic models of Shimura varieties which admit good (partial) toroidal and minimal compactifications, with familiar boundary stratifications and formal local structures, as if they were Shimura ...
KAI-WEN LAN, BENOÎT STROH
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Remarks on the arithmetic fundamental lemma
, 2017 W. Zhang's arithmetic fundamental lemma (AFL) is a conjectural identity between the derivative of an orbital integral on a symmetric space with an arithmetic intersection number on a unitary Rapoport-Zink space.
Li, Chao, Zhu, Yihang
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Integral models of Shimura varieties with parahoric level structure, II
Forum of Mathematics, PiWe construct integral models of Shimura varieties of abelian type with parahoric level structure over odd primes. These models are étale locally isomorphic to corresponding local models.
Mark Kisin, Georgios Pappas, Rong Zhou
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Bounding the $j$-invariant of integral points on certain modular curves
, 2014 In this paper, we obtain two effective bounds for the $j$-invariant of integral points on certain modular curves which has positive genus and less than three ...
Sha, Min
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Canonical integral models for Shimura varieties of abelian type
Forum of Mathematics, SigmaWe prove a conjecture of Pappas and Rapoport for all Shimura varieties of abelian type with parahoric level structure when $p>2$ by showing that the Kisin–Pappas–Zhou integral models of Shimura varieties of abelian type are canonical.
Patrick Daniels, Alexander Youcis
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UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ARISING FROM HILBERT MODULAR SURFACES
Forum of Mathematics, Sigma, 2017 Let $p$ be a prime number and $F$ a totally real number ...
MATTHEW EMERTON +2 more
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Forum of Mathematics, SigmaWe prove the compatibility of local and global Langlands correspondences for $\operatorname {GL}_n$ up to semisimplification for the Galois representations constructed by Harris-Lan-Taylor-Thorne [10] and Scholze [18]. More precisely, let $r_p(
Ila Varma
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