English

Absolute noetherian approximation of algebraic stacks

Algebraic Geometry 2023-11-16 v1

Abstract

We show that every quasi-compact and quasi-separated algebraic stack can be approximated by a noetherian algebraic stack. We give several applications such as eliminating noetherian hypotheses in the theory of good moduli spaces.

Keywords

Cite

@article{arxiv.2311.09208,
  title  = {Absolute noetherian approximation of algebraic stacks},
  author = {David Rydh},
  journal= {arXiv preprint arXiv:2311.09208},
  year   = {2023}
}

Comments

16 pages

R2 v1 2026-06-28T13:22:26.335Z