9 citations · 11 across the 3 of their papers we have counts for
4 papers
Curve selection for finite-type ideals
Gordon Heier, Robert Lazarsfeld
Let be an ideal of holomorphic functions vanishing only at the origin in . The \textit{type} of is an invariant that measures the order of…
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…
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…
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…