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Quadrics on Gushel-Mukai varieties
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Quadrics on Gushel-Mukai varieties
abstract
We study Hilbert schemes of quadrics of dimension $k \in \{0,1,2,3\}$ on smooth Gushel-Mukai varieties $X$ of dimension $n \in \{2,3,4,5,6\}$ by relating them to the relative Hilbert schemes of linear subspaces of dimension $k + 1$ of a certain family, naturally associated with $X$, of quadrics of dimension $n - 1$ over the blowup of $\mathbf{P}^5$ at a point.
Forward citations
Cited by 3 Pith papers
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EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds
For every strongly smooth ordinary Gushel–Mukai surface, the double dual EPW sextic is the Bridgeland moduli space of semistable objects with Mukai vector (1,0,−1), and analogous identifications hold for double EPW se...
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On two families of Enriques categories over K3 surfaces
Studies moduli spaces for two families of Enriques categories over K3 surfaces from specific threefolds, recovering classical constructions modularly and providing a criterion for Enriques categories in the appendix.
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