54 citations · 385 across the 62 of their papers we have counts for
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math.AG2009★ 4 cited
Intersection numbers of extremal rays on holomorphic symplectic varieties
Brendan Hassett, Yuri Tschinkel
We propose a general framework governing the intersection properties of extremal rays of irreducible holomorphic symplectic manifolds under the Beauville-Bogomolov form. Our main t…
math.AG2009★ 29 cited
Constructing rational curves on K3 surfaces
Fedor Bogomolov, Brendan Hassett, Yuri Tschinkel
We develop a mixed-characteristic version of the Mori-Mukai technique for producing rational curves on K3 surfaces. We reduce modulo p, produce rational curves on the resulting K3…
math.AG2009★ 22 cited
Stable varieties with a twist
Dan Abramovich, Brendan Hassett
We describe a new approach to the definition of the moduli functor of stable varieties. While there is wide agreement as to what classes of varieties should appear, the notion of a…