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

Abstract

Discrete derived categories were studied initially by Vossieck and later by Bobiński, Geiß, Skowroński. In this article, we describe the homomorphism hammocks and autoequivalences on these categories. We classify silting objects and bounded t-structures.

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