69 citations · 615 across the 125 of their papers we have counts for
6 papers · 1 filter
Rational curves on holomorphic symplectic fourfolds
Brendan Hassett, Yuri Tschinkel
Let F be a polarized irreducible holomorphic symplectic fourfold, deformation equivalent to the Hilbert scheme parametrizing length-two zero-dimensional subschemes of a K3 surface.…
Abelian fibrations and rational points on symmetric products
Brendan Hassett, Yuri Tschinkel
Given a variety over a number field, are its rational points potentially dense, i.e., does there exist a finite extension over which rational points are Zariski dense? We study the…
Points of bounded height on equivariant compactifications of vector groups, II
Antoine Chambert-Loir, Yuri Tschinkel
We prove asymptotic formulas for the number of rational points of bounded height on certain blow-ups of the projective space.
Density of rational points on elliptic K3 surfaces
Fedor Bogomolov, Yuri Tschinkel
Let be a K3 surface defined over a number field . Assume that admits a structure of an elliptic fibration or an infinite group of automorphisms. Then there exists a fini…
Geometry of equivariant compactifications of
Brendan Hassett, Yuri Tschinkel
Equivariant compactifications of reductive groups can be described by combinatorial data. On the other hand, equivariant compactifications of the additive group G^n_a are more comp…
Points of bounded height on equivariant compactifications of vector groups, I
Antoine Chambert-Loir, Yuri Tschinkel
We prove asymptotic formulas for the number of rational points of bounded height on certain equivariant compactifications of the affine plane.