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arXiv · 1506.04726

Positivity of divisors on blown-up projective spaces, I

Olivia Dumitrescu·Elisa Postinghel
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Abstract

We study $l$-very ample, ample and semi-ample divisors on the blown-up projective space $\mathbb{P}^n$ in a collection of points in general position. We establish Fujita's conjectures for all ample divisors with the number of points bounded above by $2n$ and for an infinite family of ample divisors with an arbitrary number of points.

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Olivia Dumitrescu, Elisa Postinghel. 2015-06-15. Positivity of divisors on blown-up projective spaces, I. https://arxiv.org/abs/1506.04726

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