Amos Turchet
Published 2013-10-29, updated 2015-02-12Version 2
Using the techniques introduced by Corvaja and Zannier we solve the non-split case of the geometric Lang-Vojta Conjecture for affine surfaces isomorphic to the complement of a conic and two lines in the projective plane. In this situation we deal with sections of an affine threefold fibered over a curve, whose boundary, in the natural projective completion, is a quartic bundle over the base whose fibers have three irreducible components. We prove that the image of each section has bounded degree in terms of the Euler Characteristic of the base curve.
Comments: updated version: introduction partly rewritten, section 2 partly corrected (lemma 2.1), in section 4 the computation are corrected with a light modification of the constant involved
A local-global principle for weak approximation on varieties over function fields
Patching and local-global principles for homogeneous spaces over function fields of p-adic curves
Quartic del Pezzo surfaces over function fields of curves
![QR code for arXiv:1310.7871 [math.AG]](http://oss.arxitics.com/images/favicon.svg)