11 citations · 20 across the 12 of their papers we have counts for
14 papers
Rational points of bounded height on entire curves
Carlo Gasbarri
Let be an affine or a projective variety defined over a number field and be a holomorphic map with Zariski dense image. We estimate the number of…
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…