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A new complete two-dimensional shrinking gradient Kähler-Ricci soliton (2206.10785v1)

Published 22 Jun 2022 in math.DG

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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