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

Fr\'ed\'eric Rochon; Ronan J. Conlon

arxiv: 1705.08788 · v2 · pith:RBZEHXRJnew · submitted 2017-05-24 · 🧮 math.DG · math.AG· math.AP

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

Ronan J. Conlon , Fr\'ed\'eric Rochon This is my paper

classification 🧮 math.DG math.AGmath.AP

keywords calabi-yaucompleteexamplesmathbbmetricsconeconstructcross-section

0 comments

read the original abstract

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.

This paper has not been read by Pith yet.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Special Lagrangians with Cylindrical Tangent Cones
math.DG 2026-04 unverdicted novelty 6.0

New special Lagrangian submanifolds are constructed near the origin in C^{n+1} with isolated singularities, cylindrical tangent cones C times R, and connectivity of Y minus the origin that differs from the cone.