The weight reduction of mod $p$ Siegel modular forms for $GSp_4$ and theta operators (Q2104109)

scientific article; zbMATH DE number 7630811

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English	The weight reduction of mod $p$ Siegel modular forms for $GSp_4$ and theta operators	scientific article; zbMATH DE number 7630811

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instance of

scholarly article

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title

The weight reduction of mod $p$ Siegel modular forms for $GSp_4$ and theta operators (English)

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author

Takuya Yamauchi

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published in

Mathematische Zeitschrift

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publication date

9 December 2022

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full work available at URL

https://arxiv.org/abs/1410.7894

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zbMATH Keywords

mod $p$ Siegel modular forms

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partial Hasse invariants

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Galois representations

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MaRDI profile type

Publication

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cites work

Introduction to Grothendieck duality theory

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Q3754056

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Siegel modular forms and representations

0 references

Q3728079

0 references

Q3579568

0 references

Construction of some families of 2-dimensional crystalline representations

0 references

Théorie de Dieudonne cristalline. II

0 references

On mod $p$ properties of Siegel modular forms

0 references

Q3049039

0 references

Abelian surfaces over totally real fields are potentially modular

0 references

On Serre's conjecture for mod $\ell $ Galois representations over totally real fields

0 references

Explicit Reduction Modulo p of Certain Two-Dimensional Crystalline Representations

0 references

Irreducibility of automorphic Galois representations of $\mathrm{GL}(n)$, $n$ at most $5$

0 references

Minimal modularity lifting for nonregular symplectic representations

0 references

A theta operator on Picard modular forms modulo an inert prime

0 references

Theta operators on unitary Shimura varieties

0 references

The weight in Serre's conjectures on modular forms

0 references

Q4369164

0 references

Differential operators mod $p$: analytic continuation and consequences

0 references

Entire Theta Operators at Unramified Primes

0 references

EULER PRODUCTS FOR CONGRUENCE SUBGROUPS OF THE SIEGEL GROUP OF GENUS 2

0 references

Q3997943

0 references

General Serre weight conjectures

0 references

Companion forms for unitary and symplectic groups

0 references

Automorphic lifts of prescribed types

0 references

Periods and Gauss-Manin connection for families of p-adic Schottky groups

0 references

Hecke eigenvalues of Siegel modular forms (mod $p$) and of algebraic modular forms

0 references

All Siegel Hecke eigensystems (mod $p$) are cuspidal

0 references

Experimental evidence for Maeda's conjecture on modular forms

0 references

Strata Hasse invariants, Hecke algebras and Galois representations

0 references

Hasse invariants for Hilbert modular varieties

0 references

Q4944267

0 references

A tameness criterion for Galois representations associated to modular forms (mod $p$)

0 references

On the Langlands correspondence for symplectic motives

0 references

Special values of zeta functions attached to Siegel modular forms

0 references

Q4143433

0 references

On the reduction of the Siegel moduli space of abelian varieties of dimension 3 with Iwahori level structure

0 references

The weight in a Serre-type conjecture for tame $n$-dimensional Galois representations

0 references

Conjecture de type de Serre et formes compagnons pour GSp4

0 references

Congruences between Siegel modular forms

0 references

Vector-valued $p$-adic Siegel modular forms

0 references

A Study of the Local Components of the Hecke Algebra mod l

0 references

Q3775667

0 references

Q4173440

0 references

Q3932928

0 references

Serre's modularity conjecture. I

0 references

Serre's modularity conjecture. II

0 references

Q4097035

0 references

Q4212603

0 references

Canonical sections of the Hodge bundle over Ekedahl-Oort strata of Shimura varieties of Hodge type

0 references

Liftability of Mod p Cusp Forms of Parallel Weights

0 references

Vanishing theorems for torsion automorphic sheaves on general PEL-type Shimura varieties

0 references

Q3130187

0 references

The crystals associated to Barsotti-Tate groups: with applications to Abelian schemes

0 references

Q3532865

0 references

Q4952552

0 references

Q2739532

0 references

Cusp Forms of Weight 2 for the Group Γ 2 (4, 8)

0 references

On the modular representations of degree two of $\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})$

0 references

SUR LES DÉFORMATIONS p-ADIQUES DE CERTAINES REPRÉSENTATIONS AUTOMORPHES

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Galois representations associated to Siegel modular forms of low weight

0 references

Nearly ordinary rank four Galois representations and $p$-adic Siegel modular forms

0 references

Companion forms and the dual BGG complex for $\mathrm{GSp}_4$

0 references

Q5475898

0 references

Existence of Whittaker models related to four dimensional symplectic Galois representations

0 references

On the Modular Representation Theory of the Two-Dimensional Special Linear Group Over an Algebraically Closed Field

0 references

Q4539738

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Identifiers

Mathematics Subject Classification ID

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10.1007/S00209-022-03153-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:2104109

The weight reduction of mod \(p\) Siegel modular forms for \(GSp_4\) and theta operators (Q2104109)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)