Richard H. Bamler, Charles Cifarelli, Ronan J. Conlon, Alix Deruelle
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A New Complete Two-Dimensional Shrinking Gradient Kähler-Ricci Soliton
We prove the existence of a unique complete shrinking gradient Kähler-Ricci soliton with bounded scalar curvature on the blowup of \(\mathbb{C}\times \mathbb{P}^{1}\) at one point. This completes the classification of such solitons in two complex dimensions.