Semistability of Lazarsfeld-Mukai bundles via parabolic structures
| Autor: | Narayanan, Poornapushkala |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | Our aim in this article is to produce new examples of semistable Lazarsfeld- Mukai bundles on smooth projective surfaces $X$ using the notion of parabolic vector bundles. In particular, we associate natural parabolic structures to any rank two (dual) Lazarsfeld-Mukai bundle and study the parabolic stability of these parabolic bundles. We also show that the orbifold bundles on Kawamata coverings of $X$ corresponding to the above parabolic bundles are themselves certain (dual) Lazarsfeld-Mukai bundles. This gives semistable Lazarsfeld-Mukai bundles on Kawamata covers of the projective plane and of certain K3 surfaces. Comment: 18 pages |
| Databáze: | arXiv |
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