Weak factorization and the Grothendieck group of Deligne–Mumford stacks
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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.
Originalsprog | Engelsk |
---|---|
Tidsskrift | Advances in Mathematics |
Vol/bind | 340 |
Sider (fra-til) | 193-210 |
ISSN | 0001-8708 |
DOI | |
Status | Udgivet - 2018 |
ID: 209260076