5 citations · 8 across the 6 of their papers we have counts for
11 papers
Numerical trivial foliations, Iitaka Fibrations and the numerical dimension
Thomas Eckl
Modifying the notion of numerically trivial foliation of a pseudo-effective line bundle L introduced by the author in math.AG/0304312 it can be shown that the leaves of this foliat…
Seshadri constants via Lelong numbers
Thomas Eckl
One of Demailly's characterizations of Seshadri constants on ample line bundles works with Lelong numbers of certain positive singular hermitian metrics. In this note sections of m…
A note on invariants of flows induced by Abelian differentials on Riemann surfaces
Thomas Eckl
The real and imaginary part of any Abelian differential on a compact Riemann surface define two flows on the underlying compact orientable surface. Furthermore, these fl…
A weak Kawamata-Viehweg Vanishing Theorem
Thomas Eckl
Using the techniques of J.-P. Demailly and Th. Peternell in math.AG/0208021 a weak version of Kawamata-Viehweg vanishing is proven for pseudo-effective line bundles on compact Kaeh…
Numerically trivial foliations
Thomas Eckl
Given a positive singular hermitian metric of a pseudoeffective line bundle on a complex Kaehler manifold, a singular foliation is constructed satisfying certain analytic analogues…
Line bundles on complex tori and a conjecture of Kodaira
Jean-Pierre Demailly, Thomas Eckl, Thomas Peternell
A famous conjecture attributed to Kodaira asks whether any compact Kaehler manifold can be approximated by projective manifolds. We confirm this conjecture on projectivized direct…