Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10149785 | Journal of Algebra | 2018 | 29 Pages |
Abstract
We give a combinatorial model for the bounded derived category of graded modules over the dual numbers in terms of arcs on the integer line with a point at infinity. Using this model we describe the lattice of thick subcategories of the bounded derived category, and of the perfect complexes, in terms of non-crossing partitions. We also make some comments on the symmetries of these lattices, exceptional collections, and the analogous problem for the unbounded derived category.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Sira Gratz, Greg Stevenson,