The Kähler–Ricci flow and optimal degenerations
The Kähler–Ricci flow and optimal degenerations
We prove that on Fano manifolds, the Kähler–Ricci flow produces a "most destabilising" degeneration, with respect to a new stability notion related to the $H$-functional. This answers questions of Chen–Sun–Wang and He. We give two applications of this result. Firstly, we give a purely algebro-geometric formula for the supremum of …