English

Moduli of filtered quiver representations

Algebraic Geometry 2020-08-12 v2

Abstract

In this paper, we give a construction of the moduli space of filtered representations of a given quiver of fixed dimension vector with the appropriate notion of stability. The construction of the moduli of filtered representations uses the moduli of representations of ladder quiver. The ladder quiver is introduced using a given quiver and a linear type quiver. We also study determinantal theta functions on such moduli spaces.

Keywords

Cite

@article{arxiv.1808.02003,
  title  = {Moduli of filtered quiver representations},
  author = {Sanjay Amrutiya and Umesh Dubey},
  journal= {arXiv preprint arXiv:1808.02003},
  year   = {2020}
}

Comments

25 pages, corrected some results, improved exposition, added new section on determinantal theta functions

R2 v1 2026-06-23T03:25:44.650Z