English

Discrete derived categories I: homomorphisms, autoequivalences and t-structures

Representation Theory 2015-07-02 v2 Algebraic Geometry

Abstract

Discrete derived categories were studied initially by Vossieck and later by Bobi\'nski, Gei\ss, Skowro\'nski. In this article, we describe the homomorphism hammocks and autoequivalences on these categories. We classify silting objects and bounded t-structures.

Keywords

Cite

@article{arxiv.1312.5203,
  title  = {Discrete derived categories I: homomorphisms, autoequivalences and t-structures},
  author = {Nathan Broomhead and David Pauksztello and David Ploog},
  journal= {arXiv preprint arXiv:1312.5203},
  year   = {2015}
}

Comments

38 pages, many figures. v2: 47 pages, main results unchanged; presentation, proofs and pictures improved; additional content in Section 3 and Appendix B