The K\"ahler-Ricci flow, holomorphic vector fields and Fano bundles
Differential Geometry
2020-04-02 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2004.00042,
title = {The K\"ahler-Ricci flow, holomorphic vector fields and Fano bundles},
author = {Xi Sisi Shen},
journal= {arXiv preprint arXiv:2004.00042},
year = {2020}
}
Comments
17 pages