Cusp K\"ahler-Ricci flow on compact K\"ahler manifold
Abstract
In this paper, by limiting twisted conical K\"ahler-Ricci flows, we prove the long-time existence and uniqueness of cusp K\"ahler-Ricci flow on compact K\"ahler manifold M which carries a smooth hypersurface D such that the twisted canonical bundle KM+D is ample. Furthermore, we prove that this flow converge to a unique cusp K\"ahler-Einstein metric.
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