On the tangent flow to the collapsing K\"ahler-Ricci flow on Hirzebruch surfaces
Abstract
In this paper, we study the collpasing K\"ahler-Ricci flow on Hirzebruch surfaces, which develops finite time singularities. We show that any tangent flow based at a point in the singular time slice is the K\"ahler-Ricci flow associated with a nonflat gradient K\"ahler-Ricci shrinker with finitely many orbifold singularities .
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