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arXiv · 2206.10785

A new complete two-dimensional shrinking gradient K\"ahler-Ricci soliton

Richard H. Bamler·Charles Cifarelli·Ronan J. Conlon·Alix Deruelle
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Abstract

We prove the existence of a unique complete shrinking gradient K\"ahler-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.

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Richard H. Bamler, Charles Cifarelli, Ronan J. Conlon, Alix Deruelle. 2022-06-22. A new complete two-dimensional shrinking gradient K\"ahler-Ricci soliton. https://arxiv.org/abs/2206.10785

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