Hilbert irreducibility above algebraic groups

DOI10.1215/00127094-2010-027zbMath1208.11080arXiv1001.3079OpenAlexW2963966611MaRDI QIDQ982689

Umberto Zannier

Publication date: 7 July 2010

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.3079

zbMATH Keywords

algebraic groupsHilbert irreducibility

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Varieties over global fields (11G35) Hilbertian fields; Hilbert's irreducibility theorem (12E25)

Related Items (14)

On the distribution of rational points on ramified covers of abelian varieties ⋮ The Hilbert property for arithmetic schemes ⋮ On abelian points of varieties intersecting subgroups in a torus ⋮ On the Hilbert property and the fundamental group of algebraic varieties ⋮ Higher connectivity of tropicalizations ⋮ On Hilbert’s irreducibility theorem for linear algebraic groups ⋮ Orbits of Algebraic Dynamical Systems in Subgroups and Subfields ⋮ On fewnomials, integral points, and a toric version of Bertini’s theorem ⋮ Ramified covers of abelian varieties over torsion fields ⋮ On roots of unity in orbits of rational functions ⋮ The Hilbert property for integral points of affine smooth cubic surfaces ⋮ Integral zeros of a polynomial with linear recurrences as coefficients ⋮ Factorization of bivariate sparse polynomials ⋮ Rational points and ramified covers of products of two elliptic curves

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