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 …
-FUNCTIONS FOR UNITARY GROUPS
E Eischen, M Harris, J Li, C Skinner - Forum of Mathematics, Pi, 2020 - cambridge.org
p-ADIC L-FUNCTIONS FOR UNITARY GROUPS Page 1 Forum of Mathematics, Pi (2020), Vol. 8,
e9, 160 pages doi:10.1017/fmp.2020.4 1 p-ADIC L-FUNCTIONS FOR UNITARY GROUPS …
e9, 160 pages doi:10.1017/fmp.2020.4 1 p-ADIC L-FUNCTIONS FOR UNITARY GROUPS …
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 …
On the Bloch-Kato conjecture for GSp (4)
D Loeffler, SL Zerbes - arXiv preprint arXiv:2003.05960, 2020 - arxiv.org
We prove an explicit reciprocity law for the Euler system attached to the spin motive of a
genus 2 Siegel modular form. As consequences, we obtain one inclusion of the Iwasawa …
genus 2 Siegel modular form. As consequences, we obtain one inclusion of the Iwasawa …
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 …
[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 …
Hecke operators and the coherent cohomology of Shimura varieties
N Fakhruddin, V Pilloni - Journal of the Institute of Mathematics of …, 2023 - cambridge.org
We consider the problem of defining an action of Hecke operators on the coherent
cohomology of certain integral models of Shimura varieties. We formulate a general …
cohomology of certain integral models of Shimura varieties. We formulate a general …
Nearby cycles of automorphic étale sheaves, II
KW Lan, B Stroh - Cohomology of Arithmetic Groups: On the Occasion of …, 2018 - Springer
Nearby Cycles of Automorphic Étale Sheaves, II | SpringerLink Skip to main content
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Families of Picard modular forms and an application to the Bloch–Kato conjecture
V Hernandez - Compositio Mathematica, 2019 - cambridge.org
Families of Picard modular forms and an application to the Bloch–Kato conjecture Page 1
Families of Picard modular forms and an application to the Bloch–Kato conjecture Valentin …
Families of Picard modular forms and an application to the Bloch–Kato conjecture Valentin …