dorsal/arxiv
View SchemaNew Calabi-Yau Metrics of Taub-NUT Type on C^{N+1}
| Authors | Tengfei Ma |
|---|---|
| Categories | |
| ArXiv ID | 2601.06756vv1 |
| URL | https://arxiv.org/abs/2601.06756 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We construct a class of complete non-flat Calabi-Yau metrics on C^{N+1} for every N >= 3, which generalize the Taub-NUT metrics from C^2 and C^3 and whose tangent cone at infinity is R^N. The construction relies on the generalized Gibbons-Hawking ansatz. A key obstacle is that the volume-form defect of the ansatz fails to decay near certain components of the discriminant locus, producing singularities more severe than those encountered in dimension three, we resolve this by a gluing procedure.
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"abstract": "We construct a class of complete non-flat Calabi-Yau metrics on C^{N+1} for every N \u003e= 3, which generalize the Taub-NUT metrics from C^2 and C^3 and whose tangent cone at infinity is R^N. The construction relies on the generalized Gibbons-Hawking ansatz. A key obstacle is that the volume-form defect of the ansatz fails to decay near certain components of the discriminant locus, producing singularities more severe than those encountered in dimension three, we resolve this by a gluing procedure.",
"arxiv_id": "2601.06756",
"authors": [
"Tengfei Ma"
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"math.DG",
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"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "New Calabi-Yau Metrics of Taub-NUT Type on C^{N+1}",
"url": "https://arxiv.org/abs/2601.06756",
"version": "v1"
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