Full exceptional collections of vector bundles on rank-two linear GIT quotients
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866909868423643136 |
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| author | Halpern-Leistner, Daniel Kemboi, Kimoi |
| author_facet | Halpern-Leistner, Daniel Kemboi, Kimoi |
| contents | We produce full strong exceptional collections consisting of vector bundles on the geometric invariant theory quotient of certain linear actions of a split reductive group $G$ of rank two. The vector bundles correspond to irreducible $G$-representations whose weights lie in an explicit bounded region in the weight space of $G$. We also describe a method for constructing more examples of linear GIT quotients with full strong exceptional collections of this kind as "decorated" quiver varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_12876 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Full exceptional collections of vector bundles on rank-two linear GIT quotients Halpern-Leistner, Daniel Kemboi, Kimoi Algebraic Geometry 14L24, 14F08 We produce full strong exceptional collections consisting of vector bundles on the geometric invariant theory quotient of certain linear actions of a split reductive group $G$ of rank two. The vector bundles correspond to irreducible $G$-representations whose weights lie in an explicit bounded region in the weight space of $G$. We also describe a method for constructing more examples of linear GIT quotients with full strong exceptional collections of this kind as "decorated" quiver varieties. |
| title | Full exceptional collections of vector bundles on rank-two linear GIT quotients |
| topic | Algebraic Geometry 14L24, 14F08 |
| url | https://arxiv.org/abs/2202.12876 |