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arxiv: math/0311086 · v1 · submitted 2003-11-06 · 🧮 math.AG

Effective finiteness theorems for maps between canonically polarized compact complex manifolds

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keywords caseboundscanonicallycompactcomplexeffectivefixedmanifolds
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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.

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