For generic K3 surfaces, a symmetry of the Hilbert scheme of points is induced by a derived autoequivalence if and only if it acts trivially on the discriminant group of the second cohomology lattice.
Nielsen realization problem for derived automorphisms of generic K3 surfaces
3 Pith papers cite this work. Polarity classification is still indexing.
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Introduces Bridgeland-Enriques general K3 surfaces whose degree-10 family detects categorical degeneration of special Gushel-Mukai threefolds and whose higher-degree families relate to Hodge-special Gushel-Mukai fourfolds and double EPW sextics.
The moduli spaces in two families of Enriques categories recover Beauville's involution, the double EPW sextic and cube, and a new birational involution on O'Grady's tenfold.
citing papers explorer
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Derived-natural automorphisms on Hilbert schemes of points on generic K3 surfaces
For generic K3 surfaces, a symmetry of the Hilbert scheme of points is induced by a derived autoequivalence if and only if it acts trivially on the discriminant group of the second cohomology lattice.
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Bridgeland-Enriques general K3 surfaces
Introduces Bridgeland-Enriques general K3 surfaces whose degree-10 family detects categorical degeneration of special Gushel-Mukai threefolds and whose higher-degree families relate to Hodge-special Gushel-Mukai fourfolds and double EPW sextics.
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On two families of Enriques categories over K3 surfaces
The moduli spaces in two families of Enriques categories recover Beauville's involution, the double EPW sextic and cube, and a new birational involution on O'Grady's tenfold.