Is there a way to understand the Harder-Narasimhan filtration (the slopes appearing) for the kernel bundle of the surjection $\mathcal{O}^n \rightarrow \mathcal{O}(k)\rightarrow 0$ on an algebraic curve? Here $n=dim(\Gamma(\mathcal{O}(k)))$.
2026-04-07 00:26:51.1775521611
Kernels of the surjection from trivial vector bundle to $\mathcal{O}(k)$.
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