2021/04/27 by Dylan Spence, Spence, Dylan
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #math.AG
paper · pdf · doi:10.48550/arxiv.2104.13331
Comments are very welcome; fixed typos
openalex publication_date 2021/04/27 · arxiv created 2021/04/28 · arxiv updated 2021/04/30 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
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.