Compact fibrations with hyperk\"ahler fibers
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 $1$. A similar result about famil...
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| Sprache: | eng |
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| Zusammenfassung: | 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 $1$. A similar result about families of complex tori
is also obtained. |
|---|---|
| DOI: | 10.48550/arxiv.1511.05332 |