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arXiv · 1706.00357

Degenerations of $\mathbf{C}^n$ and Calabi-Yau metrics

Gábor Székelyhidi
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Abstract

We construct infinitely many complete Calabi-Yau metrics on $\mathbf{C}^n$ for $n \geq 3$, with maximal volume growth, and singular tangent cones at infinity. In addition we construct Calabi-Yau metrics in neighborhoods of certain isolated singularities whose tangent cones have singular cross section, generalizing work of Hein-Naber.

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Gábor Székelyhidi. 2017-06-01. Degenerations of $\mathbf{C}^n$ and Calabi-Yau metrics. https://doi.org/10.1215/00127094-2019-0021

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