EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds
Abstract
Abstract We show that the double dual EPW sextic associated with a strongly smooth Gushel–Mukai surface can be realized as a moduli space of semistable objects on its bounded derived category. Also, we observe that the double dual EPW surface associated with a special Gushel–Mukai threefold can be realized as a moduli space of semistable objects on its Kuznetsov component. Then we discuss extensions of our main results to double EPW sextics and double EPW surfaces and a refinement of a statement of Bayer and Perry about Gushel–Mukai threefolds with equivalent Kuznetsov components, under a mild assumption.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Geometry and complex manifolds
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Nagoya Mathematical Journal
- Publisher
- Cambridge University Press (CUP)
- Volume
- 261
- Publication date
- 1 January 2026
- Language
- EN