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arXiv · 2502.03137

Positivity of line bundles on general blow ups of Hirzebruch surfaces

Cyril J. Jacob·Bivas Khan
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Abstract

We investigate various positivity properties of line bundles on general blow ups of Hirzebruch surfaces motivated by \cite{Han}, where the author has studied general blow ups of $\mathbb{P}^2$. For each of the properties: ampleness, global generation, very ampleness, and $k$-very ampleness, we provide several sufficient numerical conditions.

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Cyril J. Jacob, Bivas Khan. 2025-02-05. Positivity of line bundles on general blow ups of Hirzebruch surfaces. https://arxiv.org/abs/2502.03137

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