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arXiv · 1512.07534

On the ampleness and bigness of non-integral divisors

Stefano Urbinati
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Abstract

Given a Weil non-integral divisor $D$, it is natural to associate it the line bundle of its integral part $\mathcal{O}_X([D])$. In this work we study which of the classical characterizations of ample and big divisors can be extended to non-integral divisors via the corresponding line bundles.

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Stefano Urbinati. 2016-02-03. On the ampleness and bigness of non-integral divisors. https://arxiv.org/abs/1512.07534

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