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most citedMMP for moduli of sheaves on K3s via wall-crossing: nef and movable cones, Lagrangian fibrations

153 citations · 589 across the 21 of their papers we have counts for

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math.AG2013★ 35 cited

Derived automorphism groups of K3 surfaces of Picard rank 1

Arend Bayer, Tom Bridgeland

We give a complete description of the group of exact autoequivalences of the bounded derived category of coherent sheaves on a K3 surface of Picard rank 1. We do this by proving th…

math.AG2013★ 15 cited

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…

math.AG2013★ 153 cited

MMP for moduli of sheaves on K3s via wall-crossing: nef and movable cones, Lagrangian fibrations

Arend Bayer, Emanuele Macrì

We use wall-crossing with respect to Bridgeland stability conditions to systematically study the birational geometry of a moduli space M of stable sheaves on a K3 surface X: 1. We…