Semi-orthogonal decomposability of the derived category of a curve

doi:10.1016/j.aim.2011.06.043

Advances in Mathematics

Volume 228, Issue 5, 1 December 2011, Pages 2869-2873

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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.

MSC

primary

14F05

secondary

14E30

18E30

Keywords

Derived category

Canonical line bundle