Ulrich bundles with $c_2(\mathcal E)^2=0$ and connectedness of Ulrich subvarieties
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910164022460416 |
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| author | Buttinelli, Valerio Lopez, Angelo Felice Vacca, Roberto |
| author_facet | Buttinelli, Valerio Lopez, Angelo Felice Vacca, Roberto |
| contents | We give an almost complete classification of Ulrich bundles $\mathcal E$ with $c_2(\mathcal E)^2=0$ on a variety $X$ of dimension $n \ge 4$. Moreover, we show that there are strong constraints on the geometry of $X$ and we study disconnected Ulrich subvarieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_22978 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Ulrich bundles with $c_2(\mathcal E)^2=0$ and connectedness of Ulrich subvarieties Buttinelli, Valerio Lopez, Angelo Felice Vacca, Roberto Algebraic Geometry We give an almost complete classification of Ulrich bundles $\mathcal E$ with $c_2(\mathcal E)^2=0$ on a variety $X$ of dimension $n \ge 4$. Moreover, we show that there are strong constraints on the geometry of $X$ and we study disconnected Ulrich subvarieties. |
| title | Ulrich bundles with $c_2(\mathcal E)^2=0$ and connectedness of Ulrich subvarieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2604.22978 |