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math.AG2008★ 1 cited
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 --…
math.AG2008
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…
math.AG2008★ 3 cited
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…