English

Moduli Space of $\Lambda$-modules on Projective Deligne-Mumford Stacks

Algebraic Geometry 2020-11-16 v2

Abstract

In this paper, we define Λ\Lambda-quot-functors on Deligne-Mumford stacks. We prove that the Λ\Lambda-quot-functor is representable by an algebraic space. Then, we construct the moduli space of Λ\Lambda-modules on a projective Deligne-Mumford stack. We prove that this moduli space is a quasi-projective scheme.

Keywords

Cite

@article{arxiv.2003.11674,
  title  = {Moduli Space of $\Lambda$-modules on Projective Deligne-Mumford Stacks},
  author = {Hao Sun},
  journal= {arXiv preprint arXiv:2003.11674},
  year   = {2020}
}

Comments

52 pages

R2 v1 2026-06-23T14:27:31.985Z