Mori cones of holomorphic symplectic varieties of K3 type

2013/07/08 by Arend Bayer, Brendan Hassett, Bayer, Arend +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1307.2291

openalex publication_date 2013/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Bridgeland's stability and the positive cone of the moduli spaces of stable objects on an abelian surface
• Projectivity and Birational Geometry of Bridgeland moduli spaces

Cited by

• EPW sextics and Hilbert squares of K3 surfaces

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