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arXiv · 2208.04279

Complete Calabi-Yau metrics from smoothing Calabi-Yau complete intersections

Benjy J. Firester
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Abstract

We construct complete Calabi-Yau metrics on non-compact manifolds that are smoothings of an initial complete intersection $V_0$ that is a Calabi-Yau cone, extending the work of Sz\'ekelyhidi (2019). The constructed Calabi-Yau manifold has tangent cone at infinity given by $\mathbb{C} \times V_0$. This construction produces Calabi-Yau metrics with fibers having varying complex structures and possibly isolated singularities.

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BibTeXRIS

Benjy J. Firester. 2022-08-08. Complete Calabi-Yau metrics from smoothing Calabi-Yau complete intersections. https://doi.org/10.1007/s10711-024-00886-3

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