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arXiv · 2607.03382

Bigness of tangent bundles of blow-ups of ruled surfaces

Hosung Kim·Jeong-Seop Kim
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Abstract

We determine when the bigness of the tangent bundle is preserved under point blow-ups of a ruled surface $S=\mathbb{P}_C(\mathcal{E})$, giving a sharp bound on the number of blow-up points in terms of the first Segre invariant $s_1(\mathcal{E})$.

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Hosung Kim, Jeong-Seop Kim. 2026-07-03. Bigness of tangent bundles of blow-ups of ruled surfaces. https://arxiv.org/abs/2607.03382

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