A remark on isolated symplectic singularities with trivial local fundamental group

Abstract

Recently, Bellamy et al. constructed an infinite series of 4-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 hyperkaehler construction.

2-nd version: Corrected is the justification that Y(A,0) has symplectic singularities. Many typos are corrected. 3-rd version: To appear in Proc. London Math. Soc