5 citations · 11 across the 12 of their papers we have counts for
12 papers
Parametric solutions of Pell equations
Leonardo Zapponi
This short paper is concerned with polynomial Pell equations \[P^2-DQ^2=1,\] with and . The main result shows that the polynomials and are c…
Bounds for the Euclidean minima of function fields
Piotr Maciak, Marina Monsurrò, Leonardo Zapponi
In this paper, we define Euclidean minima for function fields and give some bound for this invariant. We furthermore show that the results are analogous to those obtained in the nu…
Existence of covers with fixed ramification in positive characteristic
Irene I. Bouw, Leonardo Zapponi
We discuss two elementary constructions for covers with fixed ramification in positive characteristic. As an application, we compute the number of certain classes of covers between…
A singular property of the supersingular elliptic curve in characteristic 2
Leonardo Zapponi
Let E be the supersingular elliptic curve defined over k, the algebraic closure of the finite field with two elements, which is unique up to k-isomorphism. Denote by 0 its identity…
On the Belyi degree(s) of a curve defined over a number field
Leonardo Zapponi
Belyi's theorem asserts that a smooth projective curve defined over a number field can be realized as a cover of the projective line unramified outside three points. In this sh…
Deformation data, Belyi maps, and the local lifting problem
Irene I. Bouw, Stefan Wewers, Leonardo Zapponi
We prove existence and nonexistence results for certain differential forms in positive characteristic, called {\em good deformation data}. Some of these results are obtained by red…