From the 1 of 6 linked papers with an AI index.
6 papers
Uniqueness of shrinking Kähler-Ricci solitons on resolutions of Kähler cones
Ronan J. Conlon, Alix Deruelle
The paper proves that any complete shrinking gradient Kähler‑Ricci soliton on a resolution of a Kähler cone must be asymptotically conical, which implies uniqueness up to biholomor…
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-Ampè…
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 Gr…
Initial stability estimates for Ricci flow and three dimensional Ricci-pinched manifolds
Alix Deruelle, Felix Schulze, Miles Simon
This paper investigates the question of stability for a class of Ricci flows which start at possibly non-smooth metric spaces. We show that if the initial metric space is Reifenber…
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…