New examples of complete Calabi-Yau metrics on ${\mathbb{C}}^n$ for $n\ge 3$

Ronan J. Conlon, Frédéric Rochon

For each $n\ge 3$, we construct on ${\mathbb{C}}^n$ examples of complete Calabi-Yau metrics of Euclidean volume growth having a tangent cone at infinity with singular cross-section.