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On symplectic resolutions and factoriality of Hamiltonian reductions

On symplectic resolutions and factoriality of Hamiltonian reductions

Recently, Herbig–Schwarz–Seaton have shown that 3-large representations of a reductive group G give rise to a large class of symplectic singularities via Hamiltonian reduction. We show that these singularities are always terminal. We show that they are $${\mathbb {Q}}$$ -factorial if and only if G has finite abelianization. When G …