Uniform Steiner bundles on $\mathbb{P}^n$ and reflection functors
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918134156361728 |
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| author | Bissinger, Daniel |
| author_facet | Bissinger, Daniel |
| contents | Let $n \in \mathbb{N}_{\geq 2}$. We prove that for every $k \geq 4$ there exist uniform but non-homogeneous Steiner bundles on $\mathbb{P}^n$ of $k$-type with disconnected splitting type, and we further investigate almost-uniform Steiner bundles. Our approach relies on interpreting Steiner bundles as relative projective Kronecker representations and applying adjoint pairs arising from restriction, inflation, and reflection functors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02014 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uniform Steiner bundles on $\mathbb{P}^n$ and reflection functors Bissinger, Daniel Representation Theory Algebraic Geometry 16G20, 14J60 Let $n \in \mathbb{N}_{\geq 2}$. We prove that for every $k \geq 4$ there exist uniform but non-homogeneous Steiner bundles on $\mathbb{P}^n$ of $k$-type with disconnected splitting type, and we further investigate almost-uniform Steiner bundles. Our approach relies on interpreting Steiner bundles as relative projective Kronecker representations and applying adjoint pairs arising from restriction, inflation, and reflection functors. |
| title | Uniform Steiner bundles on $\mathbb{P}^n$ and reflection functors |
| topic | Representation Theory Algebraic Geometry 16G20, 14J60 |
| url | https://arxiv.org/abs/2509.02014 |