Journal
MATHEMATISCHE ANNALEN
Volume 375, Issue 1-2, Pages 165-176Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00208-019-01851-2
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- Max Planck Institute for Mathematics
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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 Q-factorial if and only if G has finite abelianization. When G is connected and semi-simple, we show they are actually locally factorial. As a consequence, the symplectic singularities do not admit symplectic resolutions when G is semi-simple. We end with some open questions.
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