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math.NT2026
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…
math.NT2026
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…
math.NT2026
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…