English

On the boundedness of canonical models

Algebraic Geometry 2025-09-17 v3

Abstract

It is conjectured that the canonical models of varieties (not of general type) are bounded when the Iitaka volume is fixed. We confirm this conjecture when the general fibers of the corresponding Iitaka fibration are in a fixed bounded family of polarized Calabi-Yau pairs.

Keywords

Cite

@article{arxiv.2103.13609,
  title  = {On the boundedness of canonical models},
  author = {Junpeng Jiao},
  journal= {arXiv preprint arXiv:2103.13609},
  year   = {2025}
}

Comments

26 pages; Comments welcome