9 citations · 13 across the 8 of their papers we have counts for
26 papers · 1 filter
Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces
Brendan Hassett, Yuri Tschinkel
We study the birational geometry of irreducible holomorphic symplectic varieties arising as varieties of lines of general cubic fourfolds containing a cubic scroll. We compute the…
A Torelli theorem for curves over finite fields
Fedor Bogomolov, Mikhail Korotiaev, Yuri Tschinkel
We study hyperbolic curves and their Jacobians over finite fields in the context of anabelian geometry.
Moving and ample cones of holomorphic symplectic fourfolds
Brendan Hassett, Yuri Tschinkel
We analyze the ample and moving cones of holomorphic symplectic manifolds, in light of recent advances in the minimal model program. As an application, we establish a numerical cri…
Brauer-Manin obstructions to integral points
Andrew Kresch, Yuri Tschinkel
We study Brauer-Manin obstructions to integral points on open subsets of the projective plane.
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.
Curves in abelian varieties over finite fields
Fedor Bogomolov, Yuri Tschinkel
We study the distribution of algebraic points on curves in abelian varieties over finite fields.