Iwasawa theory of Hilbert modular forms for anticyclotomic extensions without Ihara's lemma (Q6146756)

scientific article; zbMATH DE number 7787899

Language	Label	Description	Also known as
English	Iwasawa theory of Hilbert modular forms for anticyclotomic extensions without Ihara's lemma	scientific article; zbMATH DE number 7787899

Statements

instance of

scholarly article

0 references

title

Iwasawa theory of Hilbert modular forms for anticyclotomic extensions without Ihara's lemma (English)

0 references

author

Bing Yong Xie

0 references

published in

Publicacions Matemàtiques

0 references

publication date

15 January 2024

0 references

full work available at URL

https://arxiv.org/abs/1909.10162

0 references

zbMATH Keywords

anticyclotomic extensions

0 references

Iwasawa main conjecture

0 references

$p$-adic $L$-functions

0 references

Selmer groups

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Iwasawa's main conjecture for elliptic curves over anticyclotonic $\mathbb Z_p$-extensions

0 references

Néron Models

0 references

Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert

0 references

On the anticyclotomic Iwasawa main conjecture for modular forms

0 references

Special values of anticyclotomic $L$-functions for modular forms

0 references

Non-optimal levels of $\text{mod }l$ modular representations

0 references

Dihedral Iwasawa theory of nearly ordinary quaternionic automorphic forms

0 references

A simple proof of Langlands conjectures for $\text{GL}_n$ on a $p$-adic field

0 references

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

0 references

Level lowering for modular $\text{mod }\ell$ representations over totally real fields

0 references

On the freeness of anticyclotomic Selmer groups of modular forms

0 references

Anticyclotomic Iwasawa's main conjecture for Hilbert modular forms

0 references

Ihara's lemma for Shimura curves over totally real fields via patching

0 references

Level Raising and Anticyclotomic Selmer Groups for Hilbert Modular Forms of Weight Two

0 references

On anticyclotomic <i>μ</i>-invariants of modular forms

0 references

On Galois representations associated to Hilbert modular forms

0 references

On ordinary $\lambda$-adic representations associated to modular forms

0 references

Gross-Zagier formula for $\text{GL}_ 2$.

0 references

Identifiers

arXiv ID

1909.10162

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

10.5565/PUBLMAT6812403

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6146756