A Phantom on a Rational Surface
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909274623442944 |
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| author | Krah, Johannes |
| author_facet | Krah, Johannes |
| contents | We construct a non-full exceptional collection of maximal length consisting of line bundles on the blow-up of the projective plane in 10 points in general position. This provides a counterexample to a conjecture of Kuznetsov and to a conjecture of Orlov. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_01269 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Phantom on a Rational Surface Krah, Johannes Algebraic Geometry 14F08 (Primary) 14J26, 14C20 (Secondary) We construct a non-full exceptional collection of maximal length consisting of line bundles on the blow-up of the projective plane in 10 points in general position. This provides a counterexample to a conjecture of Kuznetsov and to a conjecture of Orlov. |
| title | A Phantom on a Rational Surface |
| topic | Algebraic Geometry 14F08 (Primary) 14J26, 14C20 (Secondary) |
| url | https://arxiv.org/abs/2304.01269 |