English

Log Calabi--Yau pairs of complexity zero and arbitrary index

Algebraic Geometry 2024-11-11 v1

Abstract

In this article, we give a characterization of log Calabi--Yau pairs of complexity zero and arbitrary index. As an application, we show that a log Calabi--Yau pair of birational complexity zero admits a crepant birational model which is a generalized Bott tower.

Keywords

Cite

@article{arxiv.2411.05343,
  title  = {Log Calabi--Yau pairs of complexity zero and arbitrary index},
  author = {Joshua Enwright and Fernando Figueroa},
  journal= {arXiv preprint arXiv:2411.05343},
  year   = {2024}
}

Comments

36 pages, comments welcome