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Curvature growth and holomorphic splitting for Kähler metrics with cone singularities

Year: 2026
Type: preprint
Abstract: We study Kähler metrics with cone angle $2πβ$ along a smooth divisor, in the range $1/2<β<1$. We show that bounded Riemann curvature near the divisor forces the normal bundle sequence to split holomorphically, confirming a condition proposed by Donaldson.
Language: English
Open Access status: green
OpenAlex ID: W7211991206
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