1 citations · 2 across the 8 of their papers we have counts for
11 papers
Hilbert property for low-genus families and degree-one del Pezzo surfaces
Julian Demeio, Sam Streeter, Rosa Winter
We prove that the Hilbert property is satisfied by certain del Pezzo surfaces of degree one and Picard rank 1 over fields finitely generated over . We generalize result…
Purely exponential parametrizations and their group-theoretic applications
Pietro Corvaja, Julian Demeio, Andrei Rapinchuk +2
This paper is mainly motivated by the analysis of the so-called Bounded Generation property (BG) of linear groups (in characteristic ), which is known to admit far-reaching grou…
Weak weak approximation and the Hilbert property for degree-two del Pezzo surfaces
Julian Lawrence Demeio, Sam Streeter, Rosa Winter
We prove that del Pezzo surfaces of degree over a field satisfy weak weak approximation if is a number field and the Hilbert property if is Hilbertian of characteri…
Bounded Generation by semi-simple elements: quantitative results
Pietro Corvaja, Julian Demeio, Andrei Rapinchuk +2
We prove that for a number field , the distribution of the points of a set with a purely exponential parametrization, for example a set of matrices bou…
Ramified descent
Julian Lawrence Demeio
We investigate the "ramified descent problem": which adelic points of a smooth geometrically connected variety defined over a number field can be approximated by points tha…
Weak approximation for del Pezzo surfaces of low degree
Julian Lawrence Demeio, Sam Streeter
We prove, via an "arithmetic surjectivity" approach inspired by work of Denef, that weak weak approximation holds for surfaces with two conic fibrations satisfying a general assump…
On the distribution of rational points on ramified covers of abelian varieties
Pietro Corvaja, Julian Lawrence Demeio, Ariyan Javanpeykar +2
We prove new results on the distribution of rational points on ramified covers of abelian varieties over finitely generated fields of characteristic zero. For example, given a…
The étale Brauer-Manin obstruction to strong approximation on homogeneous spaces
Julian L. Demeio
It is known that, under a necessary non-compactness assumption, the Brauer-Manin obstruction is the only one to strong approximation on homogeneous spaces under a linear group…
On the torsion values for sections of an elliptic scheme
Pietro Corvaja, Julian Demeio, David Masser +1
We shall consider sections of an elliptic scheme over a(n affine) base curve , and study the points of where the section takes a torsion value. In particular,…
Elliptic Fibrations and Hilbert Property
Julian Lawrence Demeio
For a number field , an algebraic variety is said to have the Hilbert Property if is not thin. We are going to describe some examples of algebraic varieties, for wh…
Non-rational varieties with the Hilbert Property
Julian Lawrence Demeio
A variety is said to have the Hilbert Property if is not thin. We shall describe some examples of varieties, for which the Hilbert Property is a new result. We give a…