# On the ampleness and bigness of non-integral divisors

On the ampleness and bigness of non-integral divisors Given a Weil non-integral divisor D, it is natural to associate it the line bundle of its integral part $$\mathcal {O}_X([D])$$ 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Rendiconti del Circolo Matematico di Palermo Springer Journals

# On the ampleness and bigness of non-integral divisors

, Volume 66 (2) – Nov 2, 2016
16 pages

/lp/springer_journal/on-the-ampleness-and-bigness-of-non-integral-divisors-2RWnwr0Vgh
Publisher
Springer Milan
Subject
Mathematics; Mathematics, general; Algebra; Geometry; Analysis; Applications of Mathematics
ISSN
0009-725X
eISSN
1973-4409
D.O.I.
10.1007/s12215-016-0279-1
Publisher site
See Article on Publisher Site

### Abstract

Given a Weil non-integral divisor D, it is natural to associate it the line bundle of its integral part $$\mathcal {O}_X([D])$$ 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.

### Journal

Rendiconti del Circolo Matematico di PalermoSpringer Journals

Published: Nov 2, 2016

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