13 citations · 39 across the 10 of their papers we have counts for
11 papers
On the computation of endomorphism rings of abelian surfaces over finite fields
Samuele Anni, Gaetan Bisson, Annamaria Iezzi +2
We study endomorphism rings of principally polarized abelian surfaces over finite fields from a computational viewpoint with a focus on exhaustiveness. In particular, we address th…
Deep congruences + the Brauer-Nesbitt theorem
Samuele Anni, Alexandru Ghitza, Anna Medvedovsky
We prove that mod- congruences between polynomials in are equivalent to deeper -power congruences between power-sum functions of their roots. This result ge…
On smooth plane models for modular curves of Shimura type
Samuele Anni, Eran Assaf, Elisa Lorenzo García
In this paper we prove that there are finitely many modular curves that admit a smooth plane model. Moreover, if the degree of the model is greater than or equal to 19, no such cur…
Computing -invariants via the Greenberg-Stevens formula
Samuele Anni, Gebhard Boeckle, Peter Mathias Graef +1
In this article, we describe how to compute slopes of -adic -invariants of arbitrary weight and level by means of the Greenberg-Stevens formula. Our method is based…
Constructing hyperelliptic curves with surjective Galois representations
Samuele Anni, Vladimir Dokchitser
In this paper we show how to explicitly write down equations of hyperelliptic curves over Q such that for all odd primes l the image of the mod l Galois representation is the gener…
A note on the minimal level of realization for a mod eigenvalue system
Samuele Anni
In this article we give a criterion for a mod eigenvalue system attached to a mod Katz cuspform to arise from lower level or weight. Namely, we prove the following: t…
Residual Representations of Semistable Principally Polarized Abelian Varieties
Samuele Anni, Pedro Lemos, Samir Siksek
Let be a semistable principally polarized abelian variety of dimension defined over the rationals. Let be a prime and let $\barρ_{A,\ell} : G_{\mathbb{Q}} \rightarro…
Modular elliptic curves over real abelian fields and the generalized Fermat equation
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…
l-Adic Representations and their Associated Invariants
Vladimir Dokchitser, Samuele Anni
These are notes from a 3-lecture course given by V. Dokchitser at the ICTP in Trieste, Italy, 1st--5th of September 2014, as part of a graduate summer school on "L-functions and mo…
On Serre's uniformity conjecture for semistable elliptic curves over totally real fields
Samuele Anni, Samir Siksek
Let be a totally real field, and let be a finite set of non-archimedean places of . It follows from the work of Merel, Momose and David that there is a constant $B_{K,S}…
A local-global principle for isogenies of prime degree over number fields
Samuele Anni
We give a description of the set of exceptional pairs for a number field , that is the set of pairs , where is a prime and is the -invariant of an…