Iwasawa–Greenberg main conjecture for nonordinary modular forms and Eisenstein congruences on GU(3,1) (Q5058237)

scientific article; zbMATH DE number 7634437

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English	Iwasawa–Greenberg main conjecture for nonordinary modular forms and Eisenstein congruences on GU(3,1)	scientific article; zbMATH DE number 7634437

Statements

instance of

scholarly article

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title

Iwasawa–Greenberg main conjecture for nonordinary modular forms and Eisenstein congruences on GU(3,1) (English)

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Forum of Mathematics, Sigma

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publication date

19 December 2022

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full work available at URL

https://arxiv.org/abs/2109.08375

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zbMATH Keywords

Iwasawa-Greenberg main conjecture

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Rankin-Selberg product

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Klingen Eisenstein series

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supersingular elliptic curves

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MaRDI profile type

MaRDI publication profile

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cites work

$p$-adic families of Siegel modular cuspforms

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Eigenvarieties for Cuspforms Over PEL Type Shimura Varieties With Dense Ordinary Locus

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On primitive $p$-adic Rankin-Selberg $L$-functions

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The weight in Serre's conjectures on modular forms

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-ADIC EISENSTEIN SERIES AND -FUNCTIONS OF CERTAIN CUSP FORMS ON DEFINITE UNITARY GROUPS

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Formal degrees and local theta correspondence

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Q3824482

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Q4297081

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Eisenstein series on Shimura varieties

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On the rigid cohomology of certain Shimura varieties

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On $p$-adic L-functions of $GL(2)\times GL(2)$ over totally real fields

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CONTROL THEOREMS OF COHERENT SHEAVES ON SHIMURA VARIETIES OF PEL TYPE

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Anti-cyclotomic Katz $p$-adic $L$-functions and congruence modules

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On the non-vanishing of Hecke <i>L</i>-values modulo <i>p</i>

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Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields

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Special values of anticyclotomic Rankin-Selberg $L$-functions

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Hida families and p-adic triple product L-functions

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On the non-vanishing mod $\ell$ of central $L$-values with anticyclotomic twists for Hilbert modular forms

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Trilinear forms and the central values of triple product $L$-functions

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The Birch and Swinnerton-Dyer formula for elliptic curves of analytic rank one

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$p$-adic $L$-functions for CM fields

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Moduli of finite flat group schemes, and modularity

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Iwasawa theory for elliptic curves at supersingular primes

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Q4913544

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Families of nearly ordinary Eisenstein series on unitary groups. With an appendix by Kai-Wen Lan

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Compactifications of PEL-Type Shimura Varieties and Kuga Families with Ordinary Loci

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Q5482678

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Non-cuspidal Hida theory for Siegel modular forms and trivial zeros of $p$-adic $L$-functions

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Class fields of abelian extensions of $\mathbb Q$

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Spectral decomposition and Eisenstein series

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Q3356552

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A mild Tchebotarev theorem for GL$(n)$

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Q4544427

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The Iwasawa Main Conjectures for $\mathrm{GL}_{2}$

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Selmer groups and the Eisenstein-Klingen ideal.

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Iwasawa main conjecture for Rankin-Selberg $p$-adic $L$-functions

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Identifiers

zbMATH Open document ID

1504.11118

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DOI

10.1017/fms.2022.95

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5058237