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Title:
A locally complete family of projective IHS orbifolds of Nikulin type
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Abstract:
Nikulin orbifolds are irreducible holomorphic symplectic orbifolds which are partial resolutions of quotients of IHS manifolds of K3^[n] type. Their deformations are called orbifolds of Nikulin type. I will describe the first known locally complete family of projective irreducible holomorphic symplectic orbifolds of dimension 4 which are of Nikulin type. It is a family of IHS orbifolds that appear as double covers of special complete intersections (3,4) in $\mathbb P^6$. This is joint work with Ch. Camere, A. Garbagnati and G. Kapustka.
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