Seshadri constants on some flag bundles

Krishna Hanumanthu; Jagadish Pine

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arXiv · 2303.16477

Seshadri constants on some flag bundles

Krishna Hanumanthu·Jagadish Pine

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Abstract

Let $X$ be a smooth complex projective curve and let $E$ be a vector bundle on $X$ which is not semistable. We consider a flag bundle $\pi: \text{Fl}(E) \to X$ parametrizing certain flags of fibers of $E$. The dimensions of the successive quotients of the flags are determined by the ranks of vector bundles appearing in the Harder-Narasimhan filtration of $E$. We compute the Seshadri constants of nef line bundles on $\text{Fl}(E)$.

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Krishna Hanumanthu, Jagadish Pine. 2023-03-29. Seshadri constants on some flag bundles. https://arxiv.org/abs/2303.16477

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