On the stability of kernel bundles over chain-like curves

Suhas B N; Susobhan Mazumdar; Amit Kumar Singh

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arXiv · 2012.13130

On the stability of kernel bundles over chain-like curves

Suhas B N·Susobhan Mazumdar·Amit Kumar Singh

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Abstract

Let $C$ be a chain-like curve having $n$ smooth components and $n-1$ nodes, where $n \geq 2$. Let $E$ be a vector bundle on $C$ and $V \subseteq H^0(E)$ be a linear subspace generating $E$. We investigate the (semi)stability of the kernel bundle $M_{E,V}$ associated to $(E,V)$.

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Suhas B N, Susobhan Mazumdar, Amit Kumar Singh. 2020-12-24. On the stability of kernel bundles over chain-like curves. https://arxiv.org/abs/2012.13130

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