1 citations · 2 across the 5 of their papers we have counts for
8 papers
The algebraic Green-Griffiths-Lang conjecture for complements of very general pairs of divisors
Kenneth Ascher, Amos Turchet, Wern Yeong
We prove that the complement of a very general pair of hypersurfaces of total degree in is algebraically hyperbolic modulo a proper closed subvariety. This prov…
Greatest Common Divisor results on semiabelian varieties and a Conjecture of Silverman
Fabrizio Barroero, Laura Capuano, Amos Turchet
A divisibility sequence is a sequence of integers such that divides if divides . Results of Bugeaud, Corvaja, Zannier, among others, have shown that th…
Some examples of exceptional loci in Vojta Conjecture
Amos Turchet
In this short note we discuss the exceptional locus for the Lang-Vojta's conjecture in the case of the complement of two completely reducible hyperplane sections in a cubic surface…
Divisibility of polynomials and degeneracy of integral points
Erwan Rousseau, Julie Tzu-Yueh Wang, Amos Turchet
We prove several statements about arithmetic hyperbolicity of certain blow-up varieties. As a corollary we obtain multiple examples of simply connected quasi-projective varieties t…
Around the Chevalley-Weil Theorem
Pietro Corvaja, Amos Turchet, Umberto Zannier
We present a proof of the Chevalley-Weil Theorem that is somewhat different from the proofs appearing in the literature and with somewhat weaker hypotheses, of purely topological t…
Hyperbolicity of varieties of log general type
Kenneth Ascher, Amos Turchet
These notes provide an overview of various notions of hyperbolicity for varieties of log general type from the viewpoint of both arithmetic and birational geometry. The main result…