A New Complete Two-Dimensional Shrinking Gradient Kähler-Ricci Soliton

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发表日期：

2024年2月14日

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Richard H. Bamler,
Charles Cifarelli,
Ronan J. Conlon,
Alix Deruelle

摘要

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.