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arXiv · 1608.05490

Positivity of line bundles on special blow ups of $\mathbb{P}^2$

Krishna Hanumanthu
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Abstract

Let $C \subset \mathbb{P}^2$ be an irreducible and reduced curve of degree $e > 0$. Let $X$ be the blow up of $\mathbb{P}^2$ at $r$ distinct smooth points $p_1,\ldots,p_r \in C$. We study line bundles on $X$ and establish conditions for ampleness and $k$-very ampleness.

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Krishna Hanumanthu. 2016-08-19. Positivity of line bundles on special blow ups of $\mathbb{P}^2$. https://arxiv.org/abs/1608.05490

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