Proposes a definition of noncommutative resolutions of generalized AS-Gorenstein isolated singularities, proves they are generalized AS regular algebras with isomorphic centers, characterizes them via (d-1)-cluster tilting MCM generators, and verifies a noncommutative Bondal-Orlov conjecture in low
J rgensen, Finite Cohen-Macaulay type and smooth non-commutative schemes, Canad
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Noncommutative resolutions of AS-Gorenstein isolated singularites
Proposes a definition of noncommutative resolutions of generalized AS-Gorenstein isolated singularities, proves they are generalized AS regular algebras with isomorphic centers, characterizes them via (d-1)-cluster tilting MCM generators, and verifies a noncommutative Bondal-Orlov conjecture in low