1 citations · 1 across the 3 of their papers we have counts for
5 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…