We construct infinitely many complete Calabi–Yau metrics on for , 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 and Naber.
"Degenerations of and Calabi–Yau metrics." Duke Math. J. 168 (14) 2651 - 2700, 1 October 2019. https://doi.org/10.1215/00127094-2019-0021