Abstract

AbstractWe construct a new infinite family of four‐dimensional isolated symplectic singularities with trivial local fundamental group, answering a question of Beauville raised in 2000. Three constructions are presented for this family: (1) as singularities in blowups of the quotient of by the dihedral group of order , (2) as singular points of Calogero–Moser spaces associated with dihedral groups of order at equal parameters, and (3) as singularities of a certain Slodowy slice in the ‐fold cover of the nilpotent cone in .

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