4 papers
Some arithmetic proerties of Lame operators with dihedral monodromy
Leonardo Zapponi
In this paper, we describe some arithmetic properties of Lame operators with finite dihedral projective monodromy. We take advantage of the deep link with Grothendieck's theory of…
On the 1-pointed curves arising as etale covers of the affine line in positive characteristic
Leonardo Zapponi
Let k be an algebraically closed field of positive characteristic. The goal of this paper is to characterize the proper smooth curves X/k of positive genus g equipped with a k-rati…
Specialization of polynomial covers of prime degree
Leonardo Zapponi
Let K be a complete field of unequal characteristics . The aim of this paper is to describe the the semi-stable models for covers of degree p, u…
Galois Action on Diameter Four Trees
Leonardo Zapponi
The object of this paper is the study of a class of dessins d'enfants, the so-called diameter four trees. These objects, first introduced by G. Shabat, can be considered as the sim…