Global dimension of the derived category of an orbifold projective line
Takumi Otani
TL;DR
This paper investigates the global dimension of the derived category associated with orbifold projective lines, providing insights into its structure through stability conditions.
Contribution
It introduces a study of the global dimension of derived categories of orbifold projective lines, a novel focus in the context of stability conditions.
Findings
Characterization of the global dimension for orbifold projective lines
Connections established between stability conditions and global dimension
Potential implications for the classification of derived categories
Abstract
The global dimension of a triangulated category is defined to be the infimum value of the global dimensions of stability conditions on the triangulated category. In this paper, we study the global dimension of the derived category of an orbifold projective line.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology