Attracting divisors on projective algebraic varieties

DOI10.4064/AP91-2-13zbMATH Open1124.32009arXivmath/0608599OpenAlexW2028909884MaRDI QIDQ5295042

Małgorzata Stawiska

Publication date: 26 July 2007

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Abstract: 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 $f:XmapstoX$.

Full work available at URL: https://arxiv.org/abs/math/0608599

zbMATH Keywords

quasi-plurisubharmonic functionssingular hermitian metricsvery ample divisors

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) CR structures, CR operators, and generalizations (32V05) Holomorphic bundles and generalizations (32L05) Proper holomorphic mappings, finiteness theorems (32H35) Infinite-dimensional dissipative dynamical systems (37L99)

Related Items (1)

On the size of attractors in \(\mathbb P^k\)

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