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

Broomhead, Nathan and Pauksztello, David and Ploog, David (2017) Discrete derived categories I:homomorphisms, autoequivalences and t-structures. Mathematische Zeitschrift, 285 (1-2). pp. 39-89. ISSN 0025-5874

Abstract

Discrete derived categories were studied initially by Vossieck (J Algebra 243:168–176, 2001) and later by Bobiński et al. (Cent Eur J Math 2:19–49, 2004). In this article, we describe the homomorphism hammocks and autoequivalences on these categories. We classify silting objects and bounded t-structures.