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International Mathematics Research Notices (2007) Vol. 2007 : article ID rnm023, 33 pages, doi:10.1093/imrn/rnm023 published on May 24, 2007
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Copyright © The Author 2007. Published by Oxford University Press.

Canonical Heights for Random Iterations in Certain Varieties

Shu Kawaguchi

Department of Mathematics, Faculty of Science, Kyoto University, Kyoto, 606-8502, Japan

Correspondence: Correspondence to be sent to: Shu Kawaguchi, Department of Mathematics, Faculty of Science, Kyoto University, Kyoto, 606-8502, Japan. e-mail: kawaguch{at}math.kyoto-u.ac.jp

We show the existence of canonical heights (normalized heights) of subvarieties for bounded sequences of morphisms and give some applications.

Communicated by Toshiyuki Kobayashi


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