On the ampleness and bigness of non-integral divisors

preprint2016arXivOpen access

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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On the ampleness and bigness of non-integral divisors

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