Samuele Anni

activity

20132025

most citedA local-global principle for isogenies of prime degree over number fields

13 citations · 39 across the 10 of their papers we have counts for

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Showing 2015 · math.NTShow all

3 papers · 2 filters

math.NT2015

A note on the minimal level of realization for a mod $ℓ$ eigenvalue system

Samuele Anni

In this article we give a criterion for a mod $ℓ$ eigenvalue system attached to a mod $ℓ$ Katz cuspform to arise from lower level or weight. Namely, we prove the following: t…

math.NT2015★ 12 cited

Residual Representations of Semistable Principally Polarized Abelian Varieties

Samuele Anni, Pedro Lemos, Samir Siksek

Let $A$ be a semistable principally polarized abelian variety of dimension $d$ defined over the rationals. Let $ℓ$ be a prime and let $\barρ_{A,\ell} : G_{\mathbb{Q}} \rightarro…

math.NT2015★ 10 cited

Modular elliptic curves over real abelian fields and the generalized Fermat equation $x^{2 ℓ} + y^{2 m} = z^{p}$

Samuele Anni, Samir Siksek

Using a combination of several powerful modularity theorems and class field theory we derive a new modularity theorem for semistable elliptic curves over certain real abelian field…

A note on the minimal level of realization for a mod ℓ eigenvalue system

Residual Representations of Semistable Principally Polarized Abelian Varieties

Modular elliptic curves over real abelian fields and the generalized Fermat equation x2ℓ+y2m=zp

A note on the minimal level of realization for a mod $ℓ$ eigenvalue system

Modular elliptic curves over real abelian fields and the generalized Fermat equation $x^{2 ℓ} + y^{2 m} = z^{p}$