Ulrich bundles on Brauer--Severi varieties
| Autor: | Novaković, Saša |
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| Rok vydání: | 2018 |
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| Druh dokumentu: | Working Paper |
| Popis: | We prove the existence of Ulrich bundles on any Brauer--Severi variety. In some cases, the minimal possible rank of the obtained Ulrich bundles equals the period of the Brauer--Severi variety. Moreover, we find a formula for the rank of an Ulrich bundle involving the period of the considered Brauer--Severi variety $X$, at least if $\mathrm{dim}(X)=p-1$ for an odd prime $p$. This formula implies that the rank of any Ulrich bundle on such a Brauer--Severi variety $X$ must be a multiple of the period. Comment: 14 pages, to appear in Proceedings of the American Mathematical Society, comments welcome! |
| Databáze: | arXiv |
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