164 citations · 758 across the 78 of their papers we have counts for
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Singular spaces with trivial canonical class
Daniel Greb, Stefan Kebekus, Thomas Peternell
The classical Beauville-Bogomolov Decomposition Theorem asserts that any compact Kähler manifold with numerically trivial canonical bundle admits an étale cover that decomposes int…
Compact subvarieties with ample normal bundles, algebraicity and cones of cycles
Thomas Peternell
In this note we study two features of submanifolds (subvarieties) with ample normal bundles in a compact Kähler manifold X. First, we study how algebraic X can be, i.e. we investig…
Generically nef vector bundles and geometric applications
Thomas Peternell
The cotangent bundle of a non-uniruled projective manifold is generically nef, due to a theorem of Miyaoka. We show that the cotangent bundle is actually generically ample, if the…
Uniformisation in dimension four: towards a conjecture of Iitaka
Andreas Höring, Thomas Peternell, Ivo Radloff
Let X be a compact Kähler manifold whose universal covering is . A conjecture of Iitaka claims that X is a torus, up to finite étale cover. We prove this conjecture in…