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arXiv · 2509.02336

Stability of syzygy bundles over certain curves of compact type

Amit Kumar Singh
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Abstract

Let $E$ be a vector bundle on a curve $C$ of compact type and $V \subseteq \mathrm{H}^0(C, E)$ be a linear subspace that generates $E$. In this note, we study the stability of the syzygy bundle $M_{E,V}$ associated to $(E, V )$ over certain curves $C$ of compact type.

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Amit Kumar Singh. 2025-09-02. Stability of syzygy bundles over certain curves of compact type. https://arxiv.org/abs/2509.02336

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