A remark on isolated symplectic singularities with trivial local fundamental group

Abstract Recently, Bellamy et al. constructed an infinite series of four‐dimensional isolated symplectic sngularities with trivial local fundamental group, inspired by a question of Beauville. In this short note, we introduce an easy construction of isolated symplectic singularities (of any dimension) with trivial local fundamental group. We will use a toric hyperkähler construction.

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Journal
Proceedings of the London Mathematical Society
Published
2025-12-01
DOI
https://doi.org/10.1112/plms.70111
Primary Topic
Geometry and complex manifolds
Type
article
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article

A remark on isolated symplectic singularities with trivial local fundamental group

Yoshinori Namikawa
Proceedings of the London Mathematical Society
Geometry and complex manifolds
article

A remark on isolated symplectic singularities with trivial local fundamental group

Yoshinori Namikawa
article en

Abstract

Abstract Recently, Bellamy et al. constructed an infinite series of four‐dimensional isolated symplectic sngularities with trivial local fundamental group, inspired by a question of Beauville. In this short note, we introduce an easy construction of isolated symplectic singularities (of any dimension) with trivial local fundamental group. We will use a toric hyperkähler construction.

Proceedings of the London Mathematical SocietyVol. 131(6)
Kyoto University (JP), Research Institute for Applied Sciences (JP)
Openalex Percentile: Top 56%
Geometry and complex manifolds
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