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math.DG2022★ 1 cited
A new complete two-dimensional shrinking gradient Kähler-Ricci soliton
Richard H. Bamler, Charles Cifarelli, Ronan J. Conlon +1
We prove the existence of a unique complete shrinking gradient Kähler-Ricci soliton with bounded scalar curvature on the blowup of at one point. Th…
math.DG2022
An Aubin continuity path for shrinking gradient Kähler-Ricci solitons
Charles Cifarelli, Ronan J. Conlon, Alix Deruelle
Let be a toric Kähler-Einstein Fano manifold. We show that any toric shrinking gradient Kähler-Ricci soliton on certain toric blowups of satisfies a comple…
math.DG2022
On finite time Type I singularities of the Kähler-Ricci flow on compact Kähler surfaces
Charles Cifarelli, Ronan J. Conlon, Alix Deruelle
We show that the underlying complex manifold of a complete non-compact two-\linebreak dimensional shrinking gradient Kähler-Ricci soliton with soliton metric with…