Partial semiorthogonal decompositions for quiver moduli
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913800541700096 |
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| author | Petrella, Gianni |
| author_facet | Petrella, Gianni |
| contents | We embed several copies of the derived category of a quiver and certain line bundles in the derived category of an associated moduli space of representations, giving the start of a semiorthogonal decomposition. This mirrors the semiorthogonal decompositions of moduli of vector bundles on curves. Our results are obtained with QuiverTools, an open-source package of tools for quiver representations, their moduli spaces and their geometrical properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15125 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Partial semiorthogonal decompositions for quiver moduli Petrella, Gianni Algebraic Geometry We embed several copies of the derived category of a quiver and certain line bundles in the derived category of an associated moduli space of representations, giving the start of a semiorthogonal decomposition. This mirrors the semiorthogonal decompositions of moduli of vector bundles on curves. Our results are obtained with QuiverTools, an open-source package of tools for quiver representations, their moduli spaces and their geometrical properties. |
| title | Partial semiorthogonal decompositions for quiver moduli |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2411.15125 |