Irreducible symplectic varieties via K3-del Pezzo double covers
Abstract
We construct a series of irreducible symplectic varieties of dimension 2n, for 2≤ n≤ 10, with second Betti numbers 16≤ b2≤ 24. They arise as non-trivial terminalisations of finite symplectic quotients of Beauville-Mukai systems on very general K3-del Pezzo double covers.
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