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arxiv: 2501.05065 · v1 · pith:PDXCFJKB · submitted 2025-01-09 · math.AG

Seshadri constants and negative curves on blowups of ruled surfaces

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classification math.AG
keywords surfacesblowupsconstantsruledseshadricomputecurveshirzebruch
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In this article we compute Seshadri constants of ample line bundles on the blowup of Hirzebruch surface $\mathbb{F}_e$ at $r\leqslant e+3$ very general points. Similarly, we compute Seshadri constants on the blowups of certain decomposable ruled surfaces over smooth curves of non-zero genus. We also prove some results related to bounded negativity of blowups of Hirzebruch surfaces and ruled surfaces.

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