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arXiv · 2609.07494

Curvature growth and holomorphic splitting for K\"ahler metrics with cone singularities

Martin de Borbon
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Abstract

We study K\"ahler metrics with cone angle $2\pi\beta$ along a smooth divisor, in the range $1/2<\beta<1$. We show that bounded Riemann curvature near the divisor forces the normal bundle sequence to split holomorphically, confirming a condition proposed by Donaldson.

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Martin de Borbon. 2026-09-07. Curvature growth and holomorphic splitting for K\"ahler metrics with cone singularities. https://arxiv.org/abs/2609.07494

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