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

In this paper, we study the collapsing Kähler–Ricci flow on Hirzebruch surfaces [Formula: see text]. We show that any tangent flow at the singular time slice is the Kähler–Ricci flow associated with a nonflat Kähler–Ricci shrinker with finitely many orbifold singularities.

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Publication Details

Journal
International Journal of Mathematics
Published
2025-08-15
DOI
https://doi.org/10.1142/s0129167x2550048x
Primary Topic
Geometry and complex manifolds
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Jiangtao Li
International Journal of Mathematics
Geometry and complex manifolds
article

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

Jiangtao Li
article en

Abstract

In this paper, we study the collapsing Kähler–Ricci flow on Hirzebruch surfaces [Formula: see text]. We show that any tangent flow at the singular time slice is the Kähler–Ricci flow associated with a nonflat Kähler–Ricci shrinker with finitely many orbifold singularities.

International Journal of MathematicsVol. 36(12)
University of California San Diego (US)
Openalex Percentile: Top 66%
Geometry and complex manifolds
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On the tangent flow to the collapsing Kähler–Ricci flow on Hirzebruch surfaces — Jiangtao Li · International Journal of Mathematics (2025) | TGRS Research Map | TGRS