Degenerations in graded quiver varieties and in derived categories of Dynkin quivers
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912930820259840 |
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| author | Contu, Alessandro Yang, Fang |
| author_facet | Contu, Alessandro Yang, Fang |
| contents | For any acyclic quiver, Keller-Scherotzke provided a stratifying functor from the category of finite-dimensional modules of the singular Nakajima category to the derived category of the quiver. Under this functor, a degeneration of strata of a graded quiver variety corresponds to a degeneration, in the sense of Jensen-Su-Zimmermann, in the derived category. In this article, for any Dynkin quiver, we further investigate Jensen-Su-Zimmermann's partial order and show that any degeneration of objects in the derived category can be obtained in this way. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_23939 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Degenerations in graded quiver varieties and in derived categories of Dynkin quivers Contu, Alessandro Yang, Fang Representation Theory Quantum Algebra 16E35, 17B37 For any acyclic quiver, Keller-Scherotzke provided a stratifying functor from the category of finite-dimensional modules of the singular Nakajima category to the derived category of the quiver. Under this functor, a degeneration of strata of a graded quiver variety corresponds to a degeneration, in the sense of Jensen-Su-Zimmermann, in the derived category. In this article, for any Dynkin quiver, we further investigate Jensen-Su-Zimmermann's partial order and show that any degeneration of objects in the derived category can be obtained in this way. |
| title | Degenerations in graded quiver varieties and in derived categories of Dynkin quivers |
| topic | Representation Theory Quantum Algebra 16E35, 17B37 |
| url | https://arxiv.org/abs/2602.23939 |