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Effective finiteness theorems for maps between canonically polarizedcompact complex manifolds
Author(s) -
Heier Gordon
Publication year - 2005
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310230
Subject(s) - mathematics , surjective function , holomorphic function , pure mathematics , dimension (graph theory) , domain (mathematical analysis) , complex dimension , mathematical analysis
Effective bounds for the finite number of surjective holomorphic maps between canonically polarized compact complex manifolds of any dimension with fixed domain are proven. Both the case of a fixed target and the case of varying targets are treated. In the case of varying targets, bounds on the complexity of Chow varieties are used. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)