We study strong exceptional collections of line bundles on Fano toric Deligne-Mumford stacks P>Σ with rank of Picard group at most two. We prove that any strong exceptional collection of line bundles generates the derived category of P>Σ, as long as the number of elements in the collection equals the rank of the (Grothendieck) K-theory group of P>Σ.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Picard groups
- Toric Deligne-Mumford stacks
- derived categories
- line bundles
- strong exceptional collections