Compact fibrations with hyperk\'ahler fibers

Autor:	Déev, Rodion N.
Rok vydání:	2015
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	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. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1511.05332 Zobrazit plný text záznamu View this record from Arxiv