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arXiv · 1608.06465

Connected components of moduli spaces of irreducible holomorphic symplectic manifolds of Kummer type

Claudio Onorati
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Abstract

Moduli spaces of polarised (with fixed polarisation type) irreducible holomorphic symplectic manifolds deformation equivalent to Hilbert schemes of points on $K3$ surfaces are not connected in general and A. Apostolov counted the number of their components. We extend Apostolov's results to the case of manifolds deformation equivalent to generalised Kummer varieties.

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Claudio Onorati. 2016-08-23. Connected components of moduli spaces of irreducible holomorphic symplectic manifolds of Kummer type. https://arxiv.org/abs/1608.06465

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