Semistability of Lazarsfeld-Mukai bundles via parabolic structures

Poornapushkala Narayanan

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arXiv · 1711.09077

Semistability of Lazarsfeld-Mukai bundles via parabolic structures

Poornapushkala Narayanan

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Abstract

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.

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BibTeX RIS

Poornapushkala Narayanan. 2017-11-24. Semistability of Lazarsfeld-Mukai bundles via parabolic structures. https://arxiv.org/abs/1711.09077

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