54 citations · 385 across the 62 of their papers we have counts for
5 papers · 2 filters
On the moduli of degree 4 Del Pezzo surfaces
Brendan Hassett, Andrew Kresch, Yuri Tschinkel
We study irreducibility of families of degree 4 Del Pezzo surface fibrations over curves.
Balanced line bundles and equivariant compactifications of homogeneous spaces
Brendan Hassett, Sho Tanimoto, Yuri Tschinkel
Manin's conjecture predicts an asymptotic formula for the number of rational points of bounded height on a smooth projective variety in terms of its global geometric invariants. Th…
Mori cones of holomorphic symplectic varieties of K3 type
Arend Bayer, Brendan Hassett, Yuri Tschinkel
We determine the Mori cone of holomorphic symplectic varieties deformation equivalent to the punctual Hilbert scheme on a K3 surface. Our description is given in terms of Markman's…
Quartic del Pezzo surfaces over function fields of curves
Brendan Hassett, Yuri Tschinkel
We classify quartic del Pezzo surface fibrations over the projective line via numerical invariants, giving explicit examples for small values of the invariants. For generic such fi…
Embedding pointed curves in K3 surfaces
Brendan Hassett, Yuri Tschinkel
We analyze morphisms from pointed curves to K3 surfaces with a distinguished rational curve, such that the marked points are taken to the rational curve, perhaps with specified cro…