EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910252891373568 |
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| author | Liu, Ziqi Zhang, Shizhuo |
| author_facet | Liu, Ziqi Zhang, Shizhuo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_13269 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Liu, Ziqi Zhang, Shizhuo Algebraic Geometry 14D20, 14E20, 14J28, 14J45, 18G80 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. |
| title | EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds |
| topic | Algebraic Geometry 14D20, 14E20, 14J28, 14J45, 18G80 |
| url | https://arxiv.org/abs/2512.13269 |