The equivariant Atiyah class
Let $X$ be a complex scheme acted on by an affine algebraic group $G$. We prove that the Atiyah class of a $G$-equivariant perfect complex on $X$, as constructed by Huybrechts and Thomas, is $G$-equivariant in a precise sense. As an application, we show that, if $G$ is reductive, the obstruction the...
| Autore principale: | |
|---|---|
| Natura: | Articolo |
| Lingua: | English |
| Pubblicazione: |
Académie des sciences
2021-04-01
|
| Serie: | Comptes Rendus. Mathématique |
| Accesso online: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.166/ |