UNLIKELY INTERSECTIONS FOR CURVES IN MULTIPLICATIVE GROUPS OVER POSITIVE CHARACTERISTIC
نویسندگان
چکیده
منابع مشابه
On large automorphism groups of algebraic curves in positive characteristic
In his investigation on large K-automorphism groups of an algebraic curve, Stichtenoth obtained an upper bound on the order of the first ramification group of an algebraic curve X defined over an algebraically closed field of characteristic p. Stichtenoth’s bound has raised the problem of classifying all K-automorphism groups G of X with the following property: There is a point P ∈ X for which ...
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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: The Quarterly Journal of Mathematics
سال: 2013
ISSN: 0033-5606,1464-3847
DOI: 10.1093/qmath/hat016