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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2015
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1512.06022 |
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| _version_ | 1866914800200581120 |
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| author | Laface, Roberto Pokora, Piotr |
| author_facet | Laface, Roberto Pokora, Piotr |
| contents | In this note we study the local negativity for certain configurations of smooth rational curves in smooth surfaces with numerically trivial canonical class. We show that for such rational curves there is a bound for the so-called local Harbourne constants, which measure the local negativity phenomenon. Moreover, we provide explicit examples of interesting configurations of rational curves in some K3 and Enriques surfaces and compute their local Harbourne constants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1512_06022 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | On the local negativity of surfaces with numerically trivial canonical class Laface, Roberto Pokora, Piotr Algebraic Geometry In this note we study the local negativity for certain configurations of smooth rational curves in smooth surfaces with numerically trivial canonical class. We show that for such rational curves there is a bound for the so-called local Harbourne constants, which measure the local negativity phenomenon. Moreover, we provide explicit examples of interesting configurations of rational curves in some K3 and Enriques surfaces and compute their local Harbourne constants. |
| title | On the local negativity of surfaces with numerically trivial canonical class |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/1512.06022 |