We obtain sufficient and necessary conditions (in terms of positive singular metrics on an associated line bundle) for a positive divisor D on a projective algebraic variety X to be attracting for a holomorphic map f:X → X.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-2-13, author = {Ma\l gorzata Stawiska}, title = {Attracting divisors on projective algebraic varieties}, journal = {Annales Polonici Mathematici}, volume = {92}, year = {2007}, pages = {263-270}, zbl = {1124.32009}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-2-13} }
Małgorzata Stawiska. Attracting divisors on projective algebraic varieties. Annales Polonici Mathematici, Tome 92 (2007) pp. 263-270. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-2-13/