11 citations · 20 across the 12 of their papers we have counts for
12 papers · 1 filter
Campana conjecture for coverings of toric varieties over function fields
Carlo Gasbarri, Ji Guo, Julie Tzu-Yueh Wang
We first prove Vojta's abc conjecture over function fields for Campana points on projective toric varieties with high multiplicity along the boundary. As a consequence, we obtain a…
Simply connectedness and hyperbolicity
Erwan Rousseau, Carlo Gasbarri, Amos Turchet +1
We generalize to arbitrary dimension our previous construction of simply connected weakly-special but not special varieties. We show that they satisfy the function field and comple…
Rational vs transcendental points on analytic Riemann surfaces
Carlo Gasbarri
Let be a polarized variety over a number field. We suppose that is an hermitian line bundle. Let be a non compact Riemann Surface and be a relatively c…
Transcendental Liouville inequalities on projective varieties
Carlo Gasbarri
Let be an algebraic point of a projective variety defined over a number field. Liouville inequality tells us that the norm at of a non vanishing integral global section…
On some differences between number fields and function fields
Carlo Gasbarri
The analogy between the arithmetic of varieties over number fields and the arithmetic of varieties over function fields is a leading theme in arithmetic geometry. This analogy is v…
Higher dimensional tautological inequalities and applications
Carlo Gasbarri, Gianluca Pacienza, Erwan Rousseau
We study the degeneracy of holomorphic mappings tangent to holomorphic foliations on projective manifolds. Using Ahlfors currents in higher dimension, we obtain several strong dege…
On the canonical degrees of curves in varieties of general type
Pascal Autissier, Antoine Chambert-Loir, Carlo Gasbarri
A widely believed conjecture predicts that curves of bounded geometric genus lying on a variety of general type form a bounded family. One may even ask whether the canonical degree…
Horizontal sections of connections on curves and transcendence
Carlo Gasbarri
Let be a number field, $\UX$ be a smooth projective curve over it and be a reduced divisor on $\UX$. Let be a fibre bundle with connection having meromorphic p…
Analytic subvarieties with many rational points
Carlo Gasbarri
We give a generalization of the classical Bombieri--Schneider--Lang criterion in transcendence theory. We give a local notion of --germ, which is similar to the notion of --…
Dyson's theorem for curves
Carlo Gasbarri
Let be a number field and and two smooth projective curves defined over it. In this paper we prove an analogue of the Dyson T…
The strong conjecture over function fields (after McQuillan and Yamanoi)
Carlo Gasbarri
The conjecture predicts a highly non trivial upper bound for the height of an algebraic point in terms of its discriminant and its intersection with a fixed divisor of the pr…
Problems from the workshop on "Automorphisms of Curves" (Leiden, August, 2004)
I. Bouw, T. Chinburg, G. Cornelissen +7
Contents: Rational functions with given monodromy on generic curves (I. Bouw & S. Wewers); Can deformation rings of group representations not be local complete intersections? (T. C…