English

Generalised pairs in birational geometry

Algebraic Geometry 2020-08-10 v2

Abstract

In this note we introduce generalised pairs from the perspective of the evolution of the notion of space in birational algebraic geometry. We describe some applications of generalised pairs in recent years and then mention a few open problems.

Keywords

Cite

@article{arxiv.2008.01008,
  title  = {Generalised pairs in birational geometry},
  author = {Caucher Birkar},
  journal= {arXiv preprint arXiv:2008.01008},
  year   = {2020}
}

Comments

V1: 16 pages. V2: Added many references and expanded subsection 4.6, corrected some typos in the references

R2 v1 2026-06-23T17:36:30.897Z