Unlikely intersections with Hecke translates of a special subvariety
نویسندگان
چکیده
منابع مشابه
Unlikely Intersections in Arithmetic Dynamics
Combining ideas of Ihara-Serre-Tate, Lang [5] proved the following natural result. If a (complex, irreducible) plane curve C ⊂ A contains infinitely many points with both coordinates roots of unity, then C is the zero locus of an equation of the form xy = ζ, where a, b ∈ Z and ζ is a root of unity. In other words, if F ∈ C[x, y] is an irreducible polynomial for which there exist infinitely many...
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ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2020
ISSN: 1435-9855
DOI: 10.4171/jems/1005