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arXiv · 1211.6921

Stability of syzygy bundles on an algebraic surface

Lawrence Ein·Robert Lazarsfeld·Yusuf Mustopa
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Abstract

Given a very ample line bundle L on a projective variety X, the syzygy bundle M_L associated to L is the kernel of the evaluation map on sections of L. Our main result is that if X is a smooth projective surface defined over an algebraically closed field, then M_L is slope-stable for any sufficiently positive L.

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Lawrence Ein, Robert Lazarsfeld, Yusuf Mustopa. 2012-11-29. Stability of syzygy bundles on an algebraic surface. https://arxiv.org/abs/1211.6921

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