6 citations · 10 across the 5 of their papers we have counts for
7 papers
Automorphisms of general modular curves
Valerio Dose, Guido Maria Lido, Pietro Mercuri
We prove that for a geometrically connected modular curve of prime level larger than , all automorphisms are modular, i.e., they arise from the moduli interpretation of…
A multivariate Strassmann theorem
Guido Maria Lido, Luca Mauri
By a theorem of Strassmann, a non-zero convergent power series in one variable over a complete non-Archimedean field has finitely many zeros, with an explicit bound on their number…
On the dynamical Galois group of certain affine polynomials in positive characteristic
Andrea Ferraguti, Guido Maria Lido
We use explicit class field theory of rational function fields to prove a dynamical criterion for a polynomial of the form over a field of characteristic to have…
Maximal curves over finite fields and a modular isogeny
Valerio Dose, Guido Lido, Pietro Mercuri +1
We prove the existence of curves of genus and over the field with elements, reaching the Hasse-Weil-Serre upper bound. These curves are quotients of modular curves…
A provably quasi-polynomial algorithm for the discrete logarithm problem in finite fields of small characteristic
Guido Lido
We describe a provably quasi-polynomial algorithm to compute discrete logarithms in the multiplicative groups of finite fields of small characteristic, that is finite fields whose…
Automorphisms of Cartan modular curves of prime and composite level
Valerio Dose, Guido Lido, Pietro Mercuri
We study the automorphisms of modular curves associated to Cartan subgroups of and certain subgroups of their normalizers. We prove that if $n…
Modular Curves with many Points over Finite Fields
Valerio Dose, Guido Lido, Pietro Mercuri +1
We describe an algorithm to compute the number of points over finite fields on a broad class of modular curves: we consider quotients for a subgroup of $\GL_2(\mathbb Z…