English

Direct summands of klt singularities

Algebraic Geometry 2024-10-23 v3 Commutative Algebra

Abstract

We show that direct summands (or more generally, pure images) of klt type singularities are of klt type. As a consequence, we give a different proof of a recent result of Braun, Greb, Langlois and Moraga that reductive quotients of klt type singularities are of klt type.

Cite

@article{arxiv.2208.12418,
  title  = {Direct summands of klt singularities},
  author = {Ziquan Zhuang},
  journal= {arXiv preprint arXiv:2208.12418},
  year   = {2024}
}

Comments

12 pages. With an appendix by Shiji Lyu. Final version in Invent. Math

R2 v1 2026-06-25T01:59:30.481Z