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 $e(D)\cdot D$ are trivial, where $e(D)$ denotes the
exponent of the divisor $D$. Some results of the same kind are proved in the analytic setting.
Publié le : 2009-12-15
Classification:
nef and good divisor,
asymptotic multiplier ideal,
almost base point free divisor,
14C20,
14F05
@article{1260369408,
author = {Russo, Francesco},
title = {A characterization of nef and good divisors by asymptotic multiplier ideals},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {16},
number = {1},
year = {2009},
pages = { 943-951},
language = {en},
url = {http://dml.mathdoc.fr/item/1260369408}
}
Russo, Francesco. A characterization of nef and good divisors by asymptotic multiplier ideals. Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, pp. 943-951. http://gdmltest.u-ga.fr/item/1260369408/