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arXiv:2004.00042 [math.DG]AbstractReferencesReviewsResources

The Kähler-Ricci flow, holomorphic vector fields and Fano bundles

Xi Sisi Shen

Published 2020-03-31Version 1

We study the behavior of the K\"ahler-Ricci flow on compact manifolds developing finite-time singularities, in particular, when the flow contracts exceptional divisors or collapses the Fano fibers of a holomorphic fiber bundle. We present a technique using holomorphic vector fields to prove estimates related to the work of Song-Weinkove and Fu-Zhang.

Comments: 17 pages
Categories: math.DG
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