NON-SYMPLECTIC INVOLUTIONS ON MANIFOLDS OF -TYPE
Keyword(s):
We study irreducible holomorphic symplectic manifolds deformation equivalent to Hilbert schemes of points on a $K3$ surface and admitting a non-symplectic involution. We classify the possible discriminant quadratic forms of the invariant and coinvariant lattice for the action of the involution on cohomology and explicitly describe the lattices in the cases where the invariant lattice has small rank. We also give a modular description of all $d$ -dimensional families of manifolds of $K3^{[n]}$ -type with a non-symplectic involution for $d\geqslant 19$ and $n\leqslant 5$ and provide examples arising as moduli spaces of twisted sheaves on a $K3$ surface.
2018 ◽
Vol 2019
(21)
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pp. 6661-6710
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2009 ◽
Vol 13
(4)
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pp. 491-509
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1989 ◽
Vol 1989
(397)
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pp. 202-207
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2019 ◽
Vol 2019
(748)
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pp. 241-268
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1996 ◽
Vol 120
(2)
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pp. 255-261
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Keyword(s):
2018 ◽
Vol 20
(04)
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pp. 1750044
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