English

Birational complexity and dual complexes

Algebraic Geometry 2024-05-02 v2

Abstract

We introduce the notion of birational complexity of a log Calabi-Yau pair. This invariant measures how far the log Calabi-Yau pair is to being birational to a toric pair. We study fundamental properties of the new invariant, with a particular focus on the geometry of dual complexes.

Keywords

Cite

@article{arxiv.2402.10136,
  title  = {Birational complexity and dual complexes},
  author = {Mirko Mauri and Joaquín Moraga},
  journal= {arXiv preprint arXiv:2402.10136},
  year   = {2024}
}

Comments

37 pages. Minor changes

R2 v1 2026-06-28T14:49:52.633Z