69 citations · 615 across the 125 of their papers we have counts for
5 papers · 1 filter
Characterizing projective spaces on deformations of Hilbert schemes of K3 surfaces
David Harvey, Brendan Hassett, Yuri Tschinkel
We seek to characterize homology classes of Lagrangian projective spaces embedded in irreducible holomorphic-symplectic manifolds, up to the action of the monodromy group. This pap…
Introduction to birational anabelian geometry
Fedor Bogomolov, Yuri Tschinkel
We survey recent developments in the Birational Anabelian Geometry program aimed at the reconstruction of function fields of algebraic varieties over algebraically closed fields fr…
Integral points of bounded height on toric varieties
Antoine Chambert-Loir, Yuri Tschinkel
We establish asymptotic formulas for the number of integral points of bounded height on toric varieties.
Effectivity of Brauer-Manin obstructions on surfaces
Andrew Kresch, Yuri Tschinkel
We study Brauer-Manin obstructions to the Hasse principle and to weak approximation on algebraic surfaces over number fields.
Hodge theory and Lagrangian planes on generalized Kummer fourfolds
Brendan Hassett, Yuri Tschinkel
We analyze the intersection properties of projective planes embedded in generalized Kummer fourfolds, with a view toward classifying the homology classes represented by these subma…