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

2013/12/18 by Nathan Broomhead, Broomhead, Nathan, David Pauksztello +3 · 1 citation
Computer Science · Decision Sciences · Mathematics · #16E35 #16G10 #18E30 #Advanced Algebra and Logic #Algebraic Geometry (math.AG) #FOS: Mathematics #Fuzzy and Soft Set Theory #Representation Theory (math.RT) #Rings, Modules, and Algebras #math.AG #math.RT #msc:16E35 #msc:16G10 #msc:18E30

paper · pdf · doi:10.48550/arxiv.1312.5203

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

openalex publication_date 2013/12/18 · arxiv created 2015/06/30 · arxiv updated 2015/07/02 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

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.

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