An example of a non acyclic Koszul complex of a module
| dc.creator | Planas-Vilanova, F. | |
| dc.date | 2000-10-31 | |
| dc.date.accessioned | 2026-07-07T04:38:22Z | |
| dc.date.available | 2026-07-07T04:38:22Z | |
| dc.description | In his paper "Residues of a Pfaff system relative to an invariant subscheme" in Trans. Amer. Math. Soc. 352, 2000, 4019-4035, F. Sancho de Salas defines the universal Koszul complex of a module $M$ over a sheaf of rings $\mathcal{O}$ as ${\rm Kos}(M)=Λ(M)\otimes_{\mathcal{O}}S(M)$, where $Λ(M)$ and $S(M)$ stand for the exterior and symmetric algebras of $M$, endowed with the usual differential, and he conjectures (Conjecture 2.3.) that ${\rm Kos}(M)$ is always acyclic. We give here an example of a non acyclic Koszul complex ${\rm Kos}(M)$. | |
| dc.identifier | https://arxiv.org/abs/math/0010320 | |
| dc.identifier | http://arxiv.org/abs/math/0010320 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60254 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13D02 | |
| dc.title | An example of a non acyclic Koszul complex of a module | |
| dc.type | text |