Mori cones of holomorphic symplectic varieties of K3 type

Abstract

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 extended Hodge lattice.

10 pages. v2: clarified deformation argument. v3: main proof simplified significantly; other expository improvements based on referee comments

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