35 citations · 163 across the 46 of their papers we have counts for
5 papers · 1 filter
Betti maps, Pell equation in polynomials and almost Belyi maps
Fabrizio Barroero, Laura Capuano, Umberto Zannier
We study the Betti map of a particular (but relevant) section of the family of Jacobians of hyperelliptic curves using the polynomial Pell equation , with $A,B,D\in \ma…
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…
Integral distances from (two) lattice points
Umberto Zannier
{\it .}We completely characterize pairs of lattice points in the plane with the property that there are infinitely many lattice points whose distance from both $P…
Finiteness theorems on elliptical billiards and a variant of the Dynamical Mordell-Lang Conjecture
Pietro Corvaja, Umberto Zannier
We offer some theorems, mainly of finiteness, for certain patterns in elliptical billiards, related to periodic trajectories. For instance, if two players hit a ball at a given pos…
Non-virtually abelian anisotropic linear groups are not boundedly generated
Pietro Corvaja, Andrei Rapinchuk, Jinbo Ren +1
We prove that if a linear group over a field of characteristic zero is boundedly generated by semi-simple (diagonalizable) elements then it is virtu…