Geometric Regularity of Blow-up Limits of the Kähler-Ricci Flow
We establish geometric regularity for Type I blow-up limits of the Kähler-Ricci flow based at any sequence of Ricci vertices. As a consequence, the limiting flow is continuous in time in both Gromov-Hausdorff and Gromov- W 1 distances. In particular, the singular sets of each time slice and its tang...
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Veröffentlicht in: | Geometric and functional analysis 2024-12, Vol.34 (6), p.1899-1972 |
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Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | We establish geometric regularity for Type I blow-up limits of the Kähler-Ricci flow based at any sequence of Ricci vertices. As a consequence, the limiting flow is continuous in time in both Gromov-Hausdorff and Gromov-
W
1
distances. In particular, the singular sets of each time slice and its tangent cones are closed and of codimension no less than 4. |
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ISSN: | 1016-443X 1420-8970 |
DOI: | 10.1007/s00039-024-00694-7 |