English

Moduli of objects in finite length abelian categories

Algebraic Geometry 2026-01-14 v2 Representation Theory

Abstract

We construct moduli spaces of objects in an abelian category satisfying some finiteness hypotheses. Our approach is based on the work of Artin-Zhang and the intrinsic construction of moduli spaces for stacks developed by Alper-Halpern-Leistner-Heinloth.

Keywords

Cite

@article{arxiv.2305.10543,
  title  = {Moduli of objects in finite length abelian categories},
  author = {Andres Fernandez Herrero and Emmett Lennen and Svetlana Makarova},
  journal= {arXiv preprint arXiv:2305.10543},
  year   = {2026}
}

Comments

17 pages. Comments welcome