Twisted holomorphic symplectic forms

N. Istrati

doi:10.1112/blms/bdw039

Twisted holomorphic symplectic forms

N. Istrati^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We show that a compact Kähler manifold admitting a non-degenerate holomorphic 2-form valued in a line bundle is a finite cyclic cover of a hyperkähler manifold. With respect to the connection induced by the locally hyperkähler metric, the form is parallel. We then describe the structure of the fundamental group of such manifolds and derive some consequences.

Original language	English
Pages (from-to)	745-756
Number of pages	12
Journal	Bulletin of the London Mathematical Society
Volume	48
Issue number	5
DOIs	https://doi.org/10.1112/blms/bdw039
State	Published - 1 Oct 2016
Externally published	Yes

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Twisted holomorphic symplectic forms

Abstract

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