On the tangent flow to the collapsing Kähler-Ricci flow on Hirzebruch surfaces

Fuente: arXiv
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Auteur principal: Li, Jiangtao
Format: Preprint
Publié: 2025
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author Li, Jiangtao
author_facet Li, Jiangtao
contents In this paper, we study the collpasing Kähler-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 Kähler-Ricci flow associated with a nonflat gradient Kähler-Ricci shrinker with finitely many orbifold singularities .
format Preprint
id arxiv_https___arxiv_org_abs_2504_06471
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the tangent flow to the collapsing Kähler-Ricci flow on Hirzebruch surfaces
Li, Jiangtao
Differential Geometry
In this paper, we study the collpasing Kähler-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 Kähler-Ricci flow associated with a nonflat gradient Kähler-Ricci shrinker with finitely many orbifold singularities .
title On the tangent flow to the collapsing Kähler-Ricci flow on Hirzebruch surfaces
topic Differential Geometry
url https://arxiv.org/abs/2504.06471