O-singular locus conjecture for quantized symplectic resolutions
O-singular locus conjecture for quantized symplectic resolutions
Let be a conical symplectic resolution with a Hamiltonian torus action having finitely many fixed points, and choose a generic one-parameter subgroup . The category has Cartan subquotient . A parameter is -singular when this Cartan subquotient is not a semisimple commutative algebra of dimension ; denote the locus by .
-singular locus conjecture. The locus coincides with the union of singular hyperplanes.
The paper notes that the -singular locus is Zariski closed and contained in a finite union of essential hyperplanes, and proposes equality with the singular-hyperplane locus. The source gives no resolution status.
Sources & referencesView supporting material
Primary source
Ivan Losev, “Localization theorems for quantized symplectic resolutions”, arXiv:2103.11193 (2021).
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