4 papers · 1 filter
On Miyaoka-Yau Inequalities and Weil-Petersson Metrics
Alexander Bednarek
We use the Kähler-Ricci flow to give alternate proofs of several known Miyaoka-Yau inequalities and slope semi-stabilities, in particular, for the case of compact Kähler manifolds…
Fano Fibrations and Twisted Kähler-Einstein Metrics II: The Kähler-Ricci Flow
Alexander Bednarek
This is the second of two papers studying both the geometric structure of Fano fibrations and the application to Kähler-Ricci flows developing a singularity in finite time. We assu…
Fano Fibrations and Twisted Kähler-Einstein Metrics I
Alexander Bednarek
This is the first of two papers studying both the geometric structure of Fano fibrations and the application to Kähler-Ricci flows developing a singularity in finite time. Given a…
Global Ricci Curvature Behaviour for the Kähler-Ricci Flow with Finite Time Singularities
Alexander Bednarek
We consider the Kähler-Ricci flow on a compact manifold where the time of singularity, , is finite. We assume the existence of a holomorphic map from t…