Semi-orthogonal decomposability of the derived category of a curve

2011/04/26 by Shinnosuke Okawa, Okawa, Shinnosuke · 1 citation
Mathematics · #18E30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Primary 14F05 #Secondary 14E30 #math.AG #msc:14E30 #msc:14F05 #msc:18E30

paper · pdf · doi:10.48550/arxiv.1104.4902

6 pages. minor mistakes corrected. to appear in Adv. in Math

openalex publication_date 2011/04/26 · arxiv created 2011/08/08 · arxiv updated 2011/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the bounded derived category of coherent sheaves on a smooth projective curve except the projective line admits no non-trivial semi-orthogonal decompositions.

Cited by

• Admissible subcategories supported on curves

Related

• On nonexistence of semi-orthogonal decompositions in algebraic geometry
• Semi-orthogonal decomposition of a derived category of a 3-fold with an ordinary double point
• Nonexistence of semiorthogonal decompositions and sections of the canonical bundle
• On the derived category of a weighted projective threefold
• Resolution of the Diagonal on the Root Stacks