Intersections in subvarieties of {\mathbb{G}}_{\mathrm{m}}^l and applications to lacunary polynomials

We investigate intersections of a given subvariety X of {\mathbb {G}}_{\mathrm {m}}^l with cosets of 1-parameter subtori, on interpreting the context in terms of S-unit points over function fields. On adopting a function field version of a method introduced recently by the second author, extending t...

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Veröffentlicht in:Transactions of the American Mathematical Society 2022-01, Vol.375 (1), p.71-86
Hauptverfasser: Corvaja, Pietro, Levin, Aaron, Zannier, Umberto
Format: Artikel
Sprache:eng
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