On higher order analogues of de Rham cohomology
| dc.creator | Vezzosi, Gabriele | |
| dc.creator | Vinogradov, Alexandre M. | |
| dc.date | 2000-02-19 | |
| dc.date.accessioned | 2026-07-07T04:33:57Z | |
| dc.date.available | 2026-07-07T04:33:57Z | |
| dc.description | If K is a commutative ring and A is a K-algebra, for any sequence $σ$ of positive integers there exists an higher order analogue dR($σ$) of the standard de Rham complex dR(1,...,1,...), which can also be defined starting from suitable ("differentially closed") subcategories of (A-mod). The main result of this paper is that the cohomology of dR($σ$) does not depend on $σ$, under some smoothness assumptions on the ambient category. Before proving the main theorem we give a rather detailed exposition of all relevant (to our present purposes) functors of differential calculus on commutative algebras. This part can be also of an independent interest. | |
| dc.description | Slightly revised version of Math. Preprint 19, Scuola Normale Superiore, Pisa (June 1998) | |
| dc.identifier | https://arxiv.org/abs/math/0002157 | |
| dc.identifier | http://arxiv.org/abs/math/0002157 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58724 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13N10;13D25;58J10 | |
| dc.title | On higher order analogues of de Rham cohomology | |
| dc.type | text |