PreprintarXiv licencearXiv
Curvature growth and holomorphic splitting for Kähler metrics with cone singularities
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.
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BibTeX
@misc{borbon2026curvature,
title = {{Curvature growth and holomorphic splitting for Kähler metrics with cone singularities}},
author = {Martin de Borbon},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.07494},
eprint = {2609.07494},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.07494},
}
RIS
TY - UNPB
TI - Curvature growth and holomorphic splitting for Kähler metrics with cone singularities
AU - Martin de Borbon
PY - 2026
DA - 2026/09/07
PB - arXiv
DO - 10.48550/arxiv.2609.07494
UR - https://arxiv.org/abs/2609.07494
AB - 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.
ER -