Structures du cube et fibres d'intersection
| dc.creator | Ducrot, Francois | |
| dc.date | 1997-12-10 | |
| dc.date.accessioned | 2026-07-07T01:51:24Z | |
| dc.date.available | 2026-07-07T01:51:24Z | |
| dc.description | We define the notion of a hypercube structure on a functor between two strictly commutative Picard categories which generalizes the notion of a cube structure on a $G_m$-torsor over an abelian scheme. We use this notion to define the intersection bundle of $n+1$ line bundles on a relative scheme $X/S$ of relative dimension $n$ and to construct an additive structure on the functor $I_{X/S}:PIC(X/S)^{n+1}\F PIC(S)$. Finally, we study a section of $I_{X/S}(L_1,...,L_{n+1})$ which generalizes the resultant of $n+1$ polynomials in $n$ variables and we interprete some classical formulas with this formalism. | |
| dc.description | 37 pages, latex2e with XYPic | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9712010 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9712010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/288 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C22 | |
| dc.title | Structures du cube et fibres d'intersection | |
| dc.type | text |