23 citations · 56 across the 18 of their papers we have counts for
Showing 2016Show all
3 papers · 1 filter
math.DG2016
The Kähler-Ricci flow and optimal degenerations
Ruadhaí Dervan, Gábor Székelyhidi
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 answer…
math.DG2016
Relative K-stability for Kähler manifolds
Ruadhaí Dervan
We study the existence of extremal Kähler metrics on Kähler manifolds. After introducing a notion of relative K-stability for Kähler manifolds, we prove that Kähler manifolds admit…
math.DG2016★ 1 cited
K-stability for Kähler Manifolds
Ruadhaí Dervan, Julius Ross
We formulate a notion of K-stability for Kähler manifolds, and prove one direction of the Yau-Tian-Donaldson conjecture in this setting. More precisely, we prove that the Mabuchi f…