Some remarks about deformation theory and formality conjecture
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911774233591808 |
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| author | Chen, Huachen Pertusi, Laura Zhao, Xiaolei |
| author_facet | Chen, Huachen Pertusi, Laura Zhao, Xiaolei |
| contents | Using the algebraic criterion proved by Bandiera, Manetti and Meazzini, we show the formality conjecture for universally gluable objects with linearly reductive automorphism groups in the bounded derived category of a K3 surface. As an application, we prove the formality conjecture for polystable objects in the Kuznetsov components of Gushel--Mukai threefolds and quartic double solids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06579 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some remarks about deformation theory and formality conjecture Chen, Huachen Pertusi, Laura Zhao, Xiaolei Algebraic Geometry Using the algebraic criterion proved by Bandiera, Manetti and Meazzini, we show the formality conjecture for universally gluable objects with linearly reductive automorphism groups in the bounded derived category of a K3 surface. As an application, we prove the formality conjecture for polystable objects in the Kuznetsov components of Gushel--Mukai threefolds and quartic double solids. |
| title | Some remarks about deformation theory and formality conjecture |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2402.06579 |