On the (non) existence of symplectic resolutions of linear quotients

We study the existence of symplectic resolutions of quotient singularities V/G, where V is a symplectic vector space and G acts symplectically. Namely, we classify the symplectically irreducible and imprimitive groups, excluding those of the form K (sic) S-2 whereK < SL2(C), for which the corresponding quotient singularity admits a projective symplectic resolution. As a consequence, for dim V not equal 4, we classify all symplectically irreducible quotient singularities V/G admitting a projective symplectic resolution, except for at most four explicit singularities, that occur in dimensions at most 10, for which the question of existence remains open.