The Iwasawa main conjecture for universal families of modular motives

O Fouquet, X Wan - arXiv preprint arXiv:2107.13726, 2021 - arxiv.org
Let $ p $ be an odd prime. We prove the cyclotomic Iwasawa Main Conjecture of K. Kato for
the motive attached to an eigencuspform $ f\in S_ {k}(\Gamma_ {0}(N)) $ with arbitrary …

[PDF][PDF] Iwasawa main conjecture for non-ordinary modular forms

X Wan - arXiv preprint arXiv:1607.07729, 2016 - archive.ymsc.tsinghua.edu.cn
Iwasawa Main Conjecture for Non-Ordinary Modular Forms Page 1 Iwasawa Main Conjecture
for Non-Ordinary Modular Forms Xin Wan Abstract Let p > 2 be a prime. Under mild …

Extremal p-Adic L-Functions

S Molina - Mathematics, 2021 - mdpi.com
In this note, we propose a new construction of cyclotomic p-adic L-functions that are
attached to classical modular cuspidal eigenforms. This allows for us to cover most known …

On the Mordell-Weil Ranks of supersingular abelian varieties over -extensions

C Dion, J Ray - arXiv preprint arXiv:2112.00280, 2021 - arxiv.org
Let $ p $ be a fixed odd prime and let $ K $ be an imaginary quadratic field in which $ p $
splits. Let $ A $ be an abelian variety defined over $ K $ with supersingular reduction at both …

A geometric view on Iwasawa theory

A Betina, M Dimitrov - Journal de théorie des nombres de Bordeaux, 2021 - numdam.org
This article extends our study of the geometry of the p-adic eigencurve at a point defined by
a weight 1 cuspform f irregular at p and having complex multiplication, and the implications …

Extremal p-adic L-functions

SM Blanco - arXiv preprint arXiv:2007.09984, 2020 - arxiv.org
In this note we propose a new construction of cyclotomic p-adic L-functions attached to
classical modular cuspidal eigenforms. This allows us to cover most known cases to date …

[PDF][PDF] Extremal p-Adic L-Functions. Mathematics 2021, 1, 1

S Molina - 2021 - researchgate.net
In this note, we propose a new construction of cyclotomic p-adic L-functions that are
attached to classical modular cuspidal eigenforms. This allows for us to cover most known …