Mapping cones in the bounded derived category of a gentle algebra
Representation Theory
2020-01-27 v4 Algebraic Geometry
Abstract
In this article we describe the triangulated structure of the bounded derived category of a gentle algebra by describing the triangles induced by the morphisms between indecomposable objects in a basis of their Hom-space.
Keywords
Cite
@article{arxiv.1609.09688,
title = {Mapping cones in the bounded derived category of a gentle algebra},
author = {Ilke Canakci and David Pauksztello and Sibylle Schroll},
journal= {arXiv preprint arXiv:1609.09688},
year = {2020}
}
Comments
23 pages, revised version with simplified proofs, there are two oversights in the statements involving band complexes, these are corrected in arXiv:2001.06435, footnotes in the text reference affected statements