Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8255901 | Journal of Geometry and Physics | 2018 | 14 Pages |
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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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Rodion N. Déev,