English

KSB stability is automatic in codimension 3

Algebraic Geometry 2024-05-22 v3

Abstract

KSB stability holds at codimension 1 points trivially, and it is quite well understood at codimension 2 points, since we have a complete classification of 2-dimensional slc singularities. We show that it is automatic in codimension 3.

Keywords

Cite

@article{arxiv.2304.09009,
  title  = {KSB stability is automatic in codimension 3},
  author = {János Kollár and Sándor J Kovács},
  journal= {arXiv preprint arXiv:2304.09009},
  year   = {2024}
}

Comments

v2: Added new Corollary 1.8. arXiv admin note: text overlap with arXiv:1807.07417 v3: final version, to appear in Moduli (https://moduli.nl/)

R2 v1 2026-06-28T10:09:45.023Z