A new family of isolated singularities with trivial local fundamental group
Résumé
We construct a new infinite family of 4-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 4 by the dihedral group of order 2d , (2) as singular points of Calogero-Moser spaces associated with dihedral groups of order 2d at equal parameters, (3) as singularities of a certain Slodowy slice in the d-fold cover of the nilpotent cone in sl d .
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