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Effective finiteness theorems for maps between canonically polarizedcompact complex manifolds

✍ Scribed by Gordon Heier


Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
135 KB
Volume
278
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

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)