Compact fibrations with hyperk\"ahler fibers
Differential Geometry
2016-04-27 v2
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 hyperk\"ahler manifolds over a compact simply connected base has essential dimension not greater than . A similar result about families of complex tori is also obtained.
Keywords
Cite
@article{arxiv.1511.05332,
title = {Compact fibrations with hyperk\"ahler fibers},
author = {Rodion N. Déev},
journal= {arXiv preprint arXiv:1511.05332},
year = {2016}
}
Comments
13 pages