Weak factorization and the Grothendieck group of Deligne–Mumford stacks
Research output: Contribution to journal › Journal article › Research › peer-review
We construct a presentation for the Grothendieck group of Deligne–Mumford stacks over a field of characteristic zero. The generators for this presentation are smooth, proper Deligne–Mumford stacks and the relations are expressed in terms of stacky blow-ups. In the process we prove a version of the weak factorization theorem for Deligne–Mumford stacks.
| Original language | English |
|---|---|
| Journal | Advances in Mathematics |
| Volume | 340 |
| Pages (from-to) | 193-210 |
| ISSN | 0001-8708 |
| DOIs | |
| Publication status | Published - 2018 |
- Deligne–Mumford stack, Destackification, Grothendieck group of varieties, Weak factorization
Research areas
ID: 209260076