From the 1 of 7 linked papers with an AI index.
7 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…
New examples of affine Calabi-Yau 3-folds with maximal volume growth
Shih-Kai Chiu, Ronan J. Conlon, Frédéric Rochon
We construct examples of complete Calabi-Yau metrics on smoothings of 3-dimensional Calabi-Yau cones that are not products of lower-dimensional Calabi-Yau cones and that have orbif…
Warped quasi-asymptotically conical Calabi-Yau metrics
Ronan J. Conlon, Frédéric Rochon
We construct many new examples of complete Calabi-Yau metrics of maximal volume growth on certain smoothings of Cartesian products of Calabi-Yau cones with smooth cross-sections. A…
A non-Kähler expanding Ricci soliton with a Kähler tangent cone at infinity
Richard H. Bamler, Eric Chen, Ronan J. Conlon
We construct an example of an asymptotically conical (AC) non-Kähler expanding gradient Ricci soliton that has a Kähler tangent cone at infinity. This yields an example of a Käh…
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…
Non-collapsed finite time singularities of the Ricci flow on compact Kähler surfaces are of Type I
Ronan J. Conlon, Max Hallgren, Zilu Ma
We show that any non-collapsed finite time singularity of the Ricci flow on a compact Kähler surface is of Type I. Combined with a previous result of the first author, Cifarelli,…