Stability of syzygy bundles of Ulrich bundles
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866918431168659456 |
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| author | Miró-Roig, Rosa M. |
| author_facet | Miró-Roig, Rosa M. |
| contents | Let X be either a smooth K3 surface or a smooth Fano variety (i.e. $-K_X$ is ample) of dimension $n$ and index $i_X> n-3$ and let E be an initialized Ulrich bundle on X. In this paper, we show that the syzygy bundle $S(E)$, defined as the kernel of the evaluation map $H^0(X,E)\otimes O_{X}\rightarrow E$, is semistable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_05740 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stability of syzygy bundles of Ulrich bundles Miró-Roig, Rosa M. Algebraic Geometry {14J60, 14D20, 14F06 Let X be either a smooth K3 surface or a smooth Fano variety (i.e. $-K_X$ is ample) of dimension $n$ and index $i_X> n-3$ and let E be an initialized Ulrich bundle on X. In this paper, we show that the syzygy bundle $S(E)$, defined as the kernel of the evaluation map $H^0(X,E)\otimes O_{X}\rightarrow E$, is semistable. |
| title | Stability of syzygy bundles of Ulrich bundles |
| topic | Algebraic Geometry {14J60, 14D20, 14F06 |
| url | https://arxiv.org/abs/2604.05740 |