Seshadri constants and negative curves on blowups of ruled surfaces

Bivas Khan; Cyril J. Jacob; Ronnie Sebastian

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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

Cyril J. Jacob , Bivas Khan , Ronnie Sebastian This is my paper

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.

Seshadri constants and negative curves on blowups of ruled surfaces

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