Abelian surfaces over totally real fields are potentially modular
We show that abelian surfaces (and consequently curves of genus 2) over totally real fields
are potentially modular. As a consequence, we obtain the expected meromorphic …
are potentially modular. As a consequence, we obtain the expected meromorphic …
l-Adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients
P Hamacher, W Kim - Mathematische Annalen, 2019 - Springer
Abstract Let (G, X)(G, X) be a Shimura datum of Hodge type. Let p be an odd prime such that
G _ Q _p GQ p splits after a tamely ramified extension and p\not ∣| π _1 (G^ der)| p∤| π 1 (G …
G _ Q _p GQ p splits after a tamely ramified extension and p\not ∣| π _1 (G^ der)| p∤| π 1 (G …
Higher coherent cohomology and -adic modular forms of singular weights
V Pilloni - 2020 - projecteuclid.org
Higher coherent cohomology andp-adic modular forms of singular weights Page 1 HIGHER
COHERENT COHOMOLOGY AND p-ADIC MODULAR FORMS OF SINGULAR WEIGHTS V …
COHERENT COHOMOLOGY AND p-ADIC MODULAR FORMS OF SINGULAR WEIGHTS V …
Nearby cycles of automorphic étale sheaves
KW Lan, B Stroh - Compositio Mathematica, 2018 - cambridge.org
We show that the automorphic étale cohomology of a (possibly noncompact) PEL-type or
Hodge-type Shimura variety in characteristic zero is canonically isomorphic to the …
Hodge-type Shimura variety in characteristic zero is canonically isomorphic to the …
Compactifications of subschemes of integral models of Shimura varieties
KW Lan, B Stroh - Forum of Mathematics, Sigma, 2018 - cambridge.org
We study several kinds of subschemes of mixed characteristic models of Shimura varieties
which admit good (partial) toroidal and minimal compactifications, with familiar boundary …
which admit good (partial) toroidal and minimal compactifications, with familiar boundary …
Arithmetic volumes of unitary Shimura varieties
JH Bruinier, B Howard - arXiv preprint arXiv:2105.11274, 2021 - arxiv.org
The integral model of a GU (n-1, 1) Shimura variety carries a universal abelian scheme over
it, and the dual top exterior power of its Lie algebra carries a natural hermitian metric. We …
it, and the dual top exterior power of its Lie algebra carries a natural hermitian metric. We …
Classicité de formes modulaires surconvergentes
S Bijakowski, V Pilloni, B Stroh - annals of Mathematics, 2016 - JSTOR
Nous généralisons le critère de classicité de formes modulaires surconvergentes sur les
courbes modulaires dû à Coleman à certaines variétés de Shimura PEL de type (A) et (C) …
courbes modulaires dû à Coleman à certaines variétés de Shimura PEL de type (A) et (C) …
[PDF][PDF] An example-based introduction to Shimura varieties
KW Lan - Preprint, 2017 - javier.fresan.perso.math.cnrs.fr
In this introductory article, we will explain what Shimura varieties are and why they are
useful, with an emphasis on examples. We will also describe various compactifications of …
useful, with an emphasis on examples. We will also describe various compactifications of …
Toroidal compactifications of integral models of Shimura varieties of Hodge type
KM Pera - arXiv preprint arXiv:1211.1731, 2012 - arxiv.org
We construct projective toroidal compactifications for integral models of Shimura varieties of
Hodge type. We also construct integral models of the minimal (Satake-Baily-Borel) …
Hodge type. We also construct integral models of the minimal (Satake-Baily-Borel) …
Nearby cycles of automorphic étale sheaves, II
KW Lan, B Stroh - Cohomology of Arithmetic Groups: On the Occasion of …, 2018 - Springer
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