Hilbert Irreducibility above algberaic groups

Abstract

The paper offers versions of Hilbert's Irreducibility Theorem for the lifting of points in a cyclic subgroup of an algebraic group to a ramified cover. A version of Bertini Theorem in this context is also obtained.

22 pages

Cited by in corpus (5)

• The Hilbert Property for integral points of affine smooth cubic surfaces
• Integral zeros of a polynomial with linear recurrences as coefficients
• On fewnomials, integral points and a toric version of Bertini's theorem
• Small points and free abelian groups
• Products of varieties with many integral points