The paper completely describes the structure of algebraic subgroups of G_m^n which meet a given subvariety in a variety of unlikely dimension. In particular this yields the function field case of a conjecture by Zilber. Another application is to a proof of a sharpening of a conjecture of Schinzel on common zeros of lacunary equations.

Anomalous subvarieties---structure theorems and applications.

ZANNIER, UMBERTO;
2007

Abstract

The paper completely describes the structure of algebraic subgroups of G_m^n which meet a given subvariety in a variety of unlikely dimension. In particular this yields the function field case of a conjecture by Zilber. Another application is to a proof of a sharpening of a conjecture of Schinzel on common zeros of lacunary equations.
2007
Arithmetic geometry.; Algebraic groups; Polynomials
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/1337
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