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Title: On the collapsing of Calabi–Yau manifolds and Kähler–Ricci flows
We study the collapsing of Calabi–Yau metrics and of Kähler–Ricci flows on fiber spaces where the base is smooth.We identify the collapsed Gromov–Hausdorff limit of the Kähler–Ricci flow when the divisorial part of the discriminant locus has simple normal crossings.In either setting, we also obtain an explicit bound for the real codimension-2 Hausdorff measure of the Cheeger–Colding singular set and identify a sufficient condition from birational geometry to understand the metric behavior of the limiting metric on the base.  more » « less
Award ID(s):
2231783
PAR ID:
10501931
Author(s) / Creator(s):
;
Publisher / Repository:
De Gruyter
Date Published:
Journal Name:
Journal für die reine und angewandte Mathematik (Crelles Journal)
Volume:
800
ISSN:
0075-4102
Page Range / eLocation ID:
155-192
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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