A characterization of nef and good divisors by asymptotic multiplier ideals

Details A characterization of nef and good divisors by asymptotic multiplier ideals A characterization of nef and good divisors by asymptotic multiplier ideals

2007-10-04

arxiv.org/abs/0710.0989v1

Bullettin of the Belgian Mathematical Society--Simon Stevin 16 (2009), 943-951

Mathematics

Algebraic Geometry

8 pages; accepted for publication in the Proceedings of the Ghent Conference "Linear Systems and Subschemes" to be published i

Scientific paper

A characterization of nef and good divisors is given: a divisor D on a smooth
complex projective variety is nef and good if and only if the asymptotic
multiplier ideals of sufficiently high multiples of e(D) D$ are trivial, where
e(D) denotes the exponent of the divisor D. Some results of the same kind are
proved in the analytic setting.

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