New examples of affine Calabi-Yau 3-folds with maximal volume growth
Shih-Kai Chiu, Ronan J. Conlon, Fr\'ed\'eric Rochon
TL;DR
This paper constructs new complete Calabi-Yau metrics on smoothings of 3D Calabi-Yau cones, which are not simple products and include orbifold singularities away from the vertex.
Contribution
It provides explicit examples of Calabi-Yau 3-folds with maximal volume growth that are not decomposable into lower-dimensional cones.
Findings
Constructed new complete Calabi-Yau metrics on smoothings of 3D cones.
Examples include orbifold singularities away from the vertex.
Metrics are not products of lower-dimensional Calabi-Yau cones.
Abstract
We construct examples of complete Calabi-Yau metrics on smoothings of 3-dimensional Calabi-Yau cones that are not products of lower-dimensional Calabi-Yau cones and that have orbifold singularities away from the vertex.
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