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arXiv · 2409.04666

On the instability of syzygy bundles on toric surfaces

Lucie Devey·Milena Hering·Katharina Jochemko·Hendrik Süß
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Abstract

We show that for every toric surface apart from the projective plane and a product of two projective lines and every ample line bundle there exists a polarisation such that the syzygy bundle associated to sufficiently high powers of the line bundle is not slope stable.

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Lucie Devey, Milena Hering, Katharina Jochemko, Hendrik Süß. 2024-09-07. On the instability of syzygy bundles on toric surfaces. https://arxiv.org/abs/2409.04666

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