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Effective finiteness theorems for maps between canonically polarized compact complex manifolds

Gordon Heier
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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.

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Gordon Heier. 2003-11-06. Effective finiteness theorems for maps between canonically polarized compact complex manifolds. https://arxiv.org/abs/math/0311086

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