English

Moduli of algebraic varieties

Algebraic Geometry 2022-11-22 v1

Abstract

We develop a moduli theory of algebraic varieties and pairs of non-negative Kodaira dimension. We define stable minimal models and construct their projective coarse moduli spaces under certain natural conditions. This can be applied to a wide range of moduli problems in algebraic geometry.

Keywords

Cite

@article{arxiv.2211.11237,
  title  = {Moduli of algebraic varieties},
  author = {Caucher Birkar},
  journal= {arXiv preprint arXiv:2211.11237},
  year   = {2022}
}

Comments

67 pages

R2 v1 2026-06-28T06:20:29.580Z