9 citations · 26 across the 19 of their papers we have counts for
4 papers · 1 filter
Effectivity of Brauer-Manin obstructions
Andrew Kresch, Yuri Tschinkel
We study Brauer-Manin obstructions to the Hasse principle and to weak approximation with special regard to effectivity questions.
Approximation at places of bad reduction
Brendan Hassett, Yuri Tschinkel
This paper addresses weak approximation for rationally connected varieties defined over the function field of a curve, especially at places of bad reduction. Our approach entails a…
Potential density of rational points for K3 surfaces over function fields
Brendan Hassett, Yuri Tschinkel
We give examples of non-isotrivial K3 surfaces over complex function fields with Zariski-dense rational points and N'eron-Severi rank one.
Universal torsors over Del Pezzo surfaces and rational points
Ulrich Derenthal, Yuri Tschinkel
We discuss Manin's conjecture concerning the distribution of rational points of bounded height on Del Pezzo surfaces, and its refinement by Peyre, and explain applications of unive…