Compact Fibrations with Hyperkaehler Fibers

Student: Deev Rodion

Supervisor: Misha Verbitsky

Educational Programme: Mathematics (Bachelor)

Year of Graduation: 2016

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.

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