English

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

Differential Geometry 2017-06-19 v2 Algebraic Geometry Analysis of PDEs

Abstract

For each n3n\ge 3, we construct on Cn\mathbb{C}^n examples of complete Calabi-Yau metrics of Euclidean volume growth having a tangent cone at infinity with singular cross-section.

Keywords

Cite

@article{arxiv.1705.08788,
  title  = {New examples of complete Calabi-Yau metrics on $\mathbb{C}^n$ for $n\ge 3$},
  author = {Ronan J. Conlon and Frédéric Rochon},
  journal= {arXiv preprint arXiv:1705.08788},
  year   = {2017}
}

Comments

32 pages, improved slightly the result