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Effective finiteness theorems for maps between canonically polarized compact complex manifolds

Algebraic Geometry 2007-05-23 v1

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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Cite

@article{arxiv.math/0311086,
  title  = {Effective finiteness theorems for maps between canonically polarized compact complex manifolds},
  author = {Gordon Heier},
  journal= {arXiv preprint arXiv:math/0311086},
  year   = {2007}
}

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10 pages