28 citations · 59 across the 22 of their papers we have counts for
31 papers
Uniqueness of the soliton vector field of a shrinking gradient Kähler-Ricci soliton
Ronan J. Conlon, Alix Deruelle
We establish the uniqueness of the soliton vector field of a complete shrinking gradient Kähler-Ricci soliton up to pushforward by biholomorphism.
Uniqueness of shrinking Kähler-Ricci solitons on resolutions of Kähler cones
Ronan J. Conlon, Alix Deruelle
We show that any complete shrinking gradient Kähler-Ricci soliton on a resolution of a Kähler cone is necessarily asymptotically conical. From a result of Esparza, it then follows…
PIC1 pinched manifolds are flat or compact
Alix Deruelle, Man-Chun Lee, Felix Schulze +2
Hamilton's pinching conjecture, that three-dimensional complete non-compact manifolds with pinched Ricci curvature are flat, has recently been resolved using Ricci flow. In this pa…
An Aubin continuity path for asymptotically conical toric shrinking gradient Kähler-Ricci solitons: openness and a solution for
Ivin Babu, Ronan J. Conlon, Alix Deruelle
We show that any toric asymptotically conical shrinking gradient Kähler-Ricci soliton on an anti-canonically polarised resolution of a Kähler cone satisfies a complex Monge-Ampère…
Kähler-Ricci flows coming out of metric spaces
Alix Deruelle, Vincent Guedj, Henri Guenancia +1
Given a compact Kähler manifold and a closed, positive -current on , we find sufficient conditions for to induce a metric structure which is the Gro…
Orbifold singularity formation along ancient and immortal Ricci flows
Alix Deruelle, Tristan Ozuch
In stark contrast to lower dimensions, we produce a plethora of ancient and immortal Ricci flows in real dimension with Einstein orbifolds as tangent flows at infinity. For ins…