Jiangtao Li — Neckpinchhttps://neckpinch.com/authors/jiangtao-li/New arXiv papers by Jiangtao Li, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT Finite generation of the ring of holomorphic functions with polynomial growth on the Kähler-Ricci shrinkerhttps://neckpinch.com/papers/2505.14006/arxiv:2505.14006Tue, 20 May 2025 00:00:00 GMTJiangtao Li — Let (X, g, J, f ) be a non-compact gradient shrinking Kahler-Ricci soliton. We prove that if the scalar curvature of X satisfies a mild assumption, then OP (X), the ring of holomorphic functions with polynomial growth on X, is finitely generated. This gives a partial confirmation to a conjecture of Munteanu and Wang (cf.[MW14]).Ricci solitonsKähler–Ricci solitonsKähler geometryScalar curvatureBoundaries & non-compact On the tangent flow to the collapsing Kähler-Ricci flow on Hirzebruch surfaceshttps://neckpinch.com/papers/2504.06471/arxiv:2504.06471Tue, 08 Apr 2025 00:00:00 GMTJiangtao Li — 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 .Ricci flowKähler–Ricci flowRicci solitonsSingularities(Non)collapsingKähler geometry