164 citations · 758 across the 78 of their papers we have counts for
85 papers
Compactification of homology cells, Fujita's conjectures and the complex projective space
Ping Li, Thomas Peternell
We show that a compact Kähler manifold containing a smooth connected divisor such that is a homology cell, e.g., contractible, must be projective space with…
Compactifications of C^n and the complex projective space
Thomas Peternell
We show that the complex projective space is the only projective manifold compactifying by a smooth connected hypersurface, provided is even. In the odd dimensio…
A contraction theorem for divisors fibering over a curve
Andreas Höring, Thomas Peternell
Given a Q-Cartier divisor admitting a fibration onto a curve we give sufficient conditions for the existence of a bimeromorphic contraction contract…
Klt degenerations of projective spaces
Andreas Höring, Thomas Peternell
We study degenerations of complex projective spaces into normal projective klt varieties . If the tangent sheaf of is semi-stable, we show that itself is a…
Miyaoka-Yau inequalities and the topological characterization of certain klt varieties
Daniel Greb, Stefan Kebekus, Thomas Peternell
Ball quotients, hyperelliptic varieties, and projective spaces are characterized by their Chern classes, as the varieties where the Miyaoka-Yau inequality becomes an equality. Ball…
Erratum and addendum to the paper: Abundance for Kähler threefolds
Frédéric Campana, Andreas Höring, Thomas Peternell
In this text we signal a serious gap in the proof of the main theorem of our paper and explain which parts of the statement remain valid. In fact, the main theorem remains valid un…