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math.AG2003★ 9 cited
Effective finiteness theorems for maps between canonically polarized compact complex manifolds
Gordon Heier
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 th…
math.AG2003
Uniformly effective Shafarevich Conjecture on families of hyperbolic curves over a curve with prescribed degeneracy locus
Gordon Heier
The paper's main result is an effective uniform bound for the finiteness statement of the Shafarevich Conjecture over function fields. Several results on the projective geometry of…
math.AG2001
Effective freeness of adjoint line bundles
Gordon Heier
In this note we establish a new Fujita-type effective bound for the base point freeness of adjoint line bundles on a compact complex projective manifold of complex dimension . T…