Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 505-520 |
| Number of pages | 16 |
| Journal | Asian Journal of Mathematics |
| Volume | 25 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2021 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics
Keywords
- Picard groups
- Toric Deligne-Mumford stacks
- derived categories
- line bundles
- strong exceptional collections