The paper presents applications of criteria for integral points on surfaces obtained by the same authors in a previous paper (Annals Math 2004). In particular, degeneracy is proved for Hirzebruch surfaces, which in turn yields degenracy for a family of S-unit equations a(t)u+b(t)v=c(t), u,v S-units, t integer, a,b,c linear polynomials.
On the integral points on certain surfaces.
ZANNIER, UMBERTO;
2006
Abstract
The paper presents applications of criteria for integral points on surfaces obtained by the same authors in a previous paper (Annals Math 2004). In particular, degeneracy is proved for Hirzebruch surfaces, which in turn yields degenracy for a family of S-unit equations a(t)u+b(t)v=c(t), u,v S-units, t integer, a,b,c linear polynomials.File in questo prodotto:
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