The Action of Adeles on the Residue Complex
| dc.creator | Yekutieli, Amnon | |
| dc.date | 2002-05-02 | |
| dc.date | 2002-07-24 | |
| dc.date.accessioned | 2026-07-07T04:48:13Z | |
| dc.date.available | 2026-07-07T04:48:13Z | |
| dc.description | Let X be a scheme of finite type over a perfect field k. In this paper we study the relation between two important objects associated to X: the Grothendieck residue complex and the Beilinson adeles complex. It is known that the complex of adeles is a DGA (differential graded algebra). Our first main result is that the residue complex is a right DG module over the adeles complex. The second main result is that the de Rham residue complex is a DG module over the de Rham adeles complex. This action gives rise to the cap product in de Rham (co)homology. | |
| dc.description | 19 pages, LaTeX with xypic package; final version, to appear in Comm. Algebra (Steven Kleiman issue) | |
| dc.identifier | https://arxiv.org/abs/math/0205018 | |
| dc.identifier | http://arxiv.org/abs/math/0205018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63960 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F05 | |
| dc.title | The Action of Adeles on the Residue Complex | |
| dc.type | text |