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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.… Click to show full 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.
Keywords:
graded dual;
derived category;
crossing partitions;
non crossing;
dual numbers;
numbers arcs
Journal Title: Journal of Algebra
Year Published: 2018
Link to full text (if available)
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Journal Title: Journal of Algebra
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!