Tensor Products of Quiver Bundles
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916989071523840 |
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| author | Numpaque-Roa, Juan Sebastian |
| author_facet | Numpaque-Roa, Juan Sebastian |
| contents | In this work we introduce a notion of tensor product of (twisted) quiver representations with relations in the category of $\mathcal{O}_X$-modules. As a first application of our notion, we see that tensor products of polystable quiver bundles are polystable and later we use this to both deduce a quiver version of the Segre embedding and to identify distinguished closed subschemes of $\text{GL}(n,\mathbb{C})$-character varieties of free abelian groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_11606 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tensor Products of Quiver Bundles Numpaque-Roa, Juan Sebastian Algebraic Geometry Differential Geometry Representation Theory In this work we introduce a notion of tensor product of (twisted) quiver representations with relations in the category of $\mathcal{O}_X$-modules. As a first application of our notion, we see that tensor products of polystable quiver bundles are polystable and later we use this to both deduce a quiver version of the Segre embedding and to identify distinguished closed subschemes of $\text{GL}(n,\mathbb{C})$-character varieties of free abelian groups. |
| title | Tensor Products of Quiver Bundles |
| topic | Algebraic Geometry Differential Geometry Representation Theory |
| url | https://arxiv.org/abs/2503.11606 |