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arxiv: 1512.07534 · v2 · pith:YBYUARRNnew · submitted 2015-12-23 · 🧮 math.AG

On the ampleness and bigness of non-integral divisors

classification 🧮 math.AG
keywords divisorsnon-integrallineampleamplenessassociatebignessbundle
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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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