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Special Ulrich bundles on regular surfaces with non-negative Kodaira dimension
| Content Provider | Semantic Scholar |
|---|---|
| Author | Casnati, Gianfranco |
| Copyright Year | 2018 |
| Abstract | Let $S$ be a regular surface with non negative Kodaira dimension $\kappa(S)$ and endowed with a very ample line bundle $\mathcal O_S(h_S)$. Taking inspiration from a very recent result by D. Faenzi on $K3$ surfaces, we prove that if $\mathcal O_S(h_S)$ satisfies a short list of technical conditions, then such a polarized surface supports $\mu$-stable special Ulrich bundles of rank $2$ corresponding to smooth points in their moduli space. As applications, we deal with general embeddings of regular surfaces, pluricanonically embedded regular surfaces and some properly elliptic surfaces of low degree in $\Bbb P^N$. Finally, we also discuss about the size of the families of Ulrich bundles on $S$. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://arxiv.org/pdf/1809.08565v1.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
