Effective finiteness theorems for maps between canonically polarized compact complex manifolds

Details Effective finiteness theorems for maps between canonically polarized compact complex manifolds Effective finiteness theorems for maps between canonically polarized compact complex manifolds

2003-11-06

arxiv.org/abs/math/0311086v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

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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