Effective finiteness theorems for maps between canonically polarizedcompact complex manifolds

Effective finiteness theorems for maps between canonically polarizedcompact complex manifolds

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 comp...

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Veröffentlicht in:Mathematische Nachrichten 2005-01, Vol.278 (1-2), p.133-140
1. Verfasser: Heier, Gordon
Format: Artikel
Sprache:eng
Schlagworte:
Chow varieties
Effective finiteness theorems for maps
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Zusammenfassung: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)
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.200310230