2000 character limit reached
A note on semiorthogonal indecomposability for some Cohen-Macaulay varieties (2104.13331v2)
Published 27 Apr 2021 in math.AG
Abstract: In this short note, we observe that Theorem 3.1 in arXiv:1508.00682 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. Here weak indecomposablility refers to the admissibility of components.