In this short note, we observe that the criterion proven in [KO15] for semiorthogonal indecomposability of the derived category of smooth DM stacks based on the canonical bundle can be… Click to show full abstract
In this short note, we observe that the criterion proven in [KO15] for semiorthogonal indecomposability of the derived category of smooth DM stacks based on the canonical bundle can be extended to the case of projective varieties with Cohen-Macaulay singularities. As a consequence, all projective curves of positive arithmetic genus have weakly indecomposable bounded derived categories and indecomposable categories of perfect complexes.
Keywords:
cohen macaulay;
semiorthogonal indecomposability;
note semiorthogonal;
indecomposability cohen
Journal Title: Journal of Pure and Applied Algebra
Year Published: 2022
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Journal Title: Journal of Pure and Applied Algebra
Year Published: 2022
Link to full text (if available)
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recommendations!