Article ID Journal Published Year Pages File Type
8255901 Journal of Geometry and Physics 2018 14 Pages PDF
Abstract
Essential dimension of a family of complex manifolds is the dimension of the image of its base in the Kuranishi space of the fiber. We prove that any family of hyperkähler manifolds over a compact simply connected base has essential dimension not greater than 1. A similar result about families of complex tori is also obtained.
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Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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