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Conics on Gushel–Mukai fourfolds, EPW sextics and Bridgeland moduli spaces
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- Title
- Conics on Gushel–Mukai fourfolds, EPW sextics and Bridgeland moduli spaces
- Author(s)
- Guo, Hanfei; Liu, Zhiyu; Shizhuo Zhang
- Publication Date
- 2024-11
- Journal
- Mathematical Research Letters, v.31, no.4, pp.1061 - 1106
- Publisher
- Mathematical Publishing
- Abstract
- We identify the double dual EPW sextic ỸA⊥ and the double EPW sextic ỸA, associated with a very general Gushel–Mukai fourfold X, with the Bridgeland moduli spaces of stable objects of character Λ1 and Λ2 in the Kuznetsov component Ku(X). This provides an affirmative answer to a question of Perry–Pertusi–Zhao. As an application, we prove a conjecture of Kuznetsov–Perry for very general Gushel–Mukai fourfolds. © 2024 International Press, Inc.. All rights reserved.
- ISSN
- 1073-2780
- Appears in Collections:
- Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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