English

Complete Calabi-Yau metrics on noncompact abelian fibered threefolds

Differential Geometry 2025-06-17 v2 Algebraic Geometry

Abstract

In this article, we construct complete Calabi-Yau metrics on abelian fibrations XX over C\mathbb{C}. We also provide compactification for XX so that the compactified variety has negative canonical bundle.

Keywords

Cite

@article{arxiv.2501.15205,
  title  = {Complete Calabi-Yau metrics on noncompact abelian fibered threefolds},
  author = {Ruiming Liang and Yang Zhang},
  journal= {arXiv preprint arXiv:2501.15205},
  year   = {2025}
}