Paper · May 17, 2022
An Aubin continuity path for shrinking gradient Kähler-Ricci solitons
As on arXiv
Abstract
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 complex Monge-Ampère equation. We then set up an Aubin continuity path to solve this equation and show that it has a solution at the initial value of the path parameter. This we do by implementing another continuity method.
Comments: 66 pages, various corrections, Proposition 7.15 revised
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