54 citations · 385 across the 62 of their papers we have counts for
4 papers · 2 filters
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…
Weak approximation and rationally connected varieties over function fields of curves
Brendan Hassett
This is a survey of weak approximation over complex function fields, touching on the Koll'ar-Miyaoka-Mori theorem, places of good and bad reduction, the special case of rational su…
Transcendental obstructions to weak approximation on general K3 surfaces
Brendan Hassett, Anthony Várilly-Alvarado, Patrick Varilly
We construct an explicit K3 surface over the field of rational numbers that has geometric Picard rank one, and for which there is a transcendental Brauer-Manin obstruction to weak…
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…