{"id":"openai-math/A-finite-time-singularity-of-Calabi-flow-on-projective-space","pdf":"https://github.com/openai/math/blob/main/preprints/A-finite-time-singularity-of-Calabi-flow-on-projective-space-September-24-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/A-finite-time-singularity-of-Calabi-flow-on-projective-space-September-24-2026","tags":["kahler-geometry","geometric-flows","calabi-flow"],"score":0,"title":"A finite-time singularity of Calabi flow on projective space","domain":"Differential geometry","family":"352","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.DG","summary":"We construct a smooth Kähler metric in the Fubini–Study class of $`\\mathbb{CP}^{10}`$ whose Calabi flow develops unbounded scalar curvature in finite time. This disproves Chen's smooth long-time existence conjecture, even in a class containing a constant-scalar-curvature metric.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":false,"family_title":"A finite-time singularity of Calabi flow"}