Existence of Kahler-Ricci solitons on smoothable Q-Fano varities
Yan Li
TL;DR
This paper proves the existence of Kähler-Ricci solitons on smoothable, K-stable Q-Fano varieties and studies their behavior under smoothing in the Gromov-Hausdorff topology.
Contribution
It establishes the existence of Kähler-Ricci solitons on a broad class of Q-Fano varieties and analyzes their deformation behavior.
Findings
Existence of Kähler-Ricci solitons on smoothable, K-stable Q-Fano varieties.
Behavior of twisted Kähler-Ricci solitons under smoothing in Gromov-Hausdorff topology.
Abstract
In this article we prove the existence of Kahler-Ricci solitons on smoothable, K-stable Q-Fano varieties. We also investigate the behavior of twisted Kahler-Ricci solitons in the Gromov-Hausdorff topology under this smoothing family.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Nonlinear Waves and Solitons