The local monodromy as a generalized algebraic correspondence
| dc.creator | Consani, Caterina | |
| dc.date | 1998-01-17 | |
| dc.date.accessioned | 2026-07-07T05:23:36Z | |
| dc.date.available | 2026-07-07T05:23:36Z | |
| dc.description | In the paper we show that for a normal-crossings degeneration $Z$ over the ring of integers of a local field with $X$ as generic fibre, the local monodromy operator and its powers determine invariant cocycle classes under the decomposition group in the cohomology of the product $X \times X$. More precisely, they also define algebraic cycles on the special fibre of a resolution of $Z \times Z$. In the paper, we give an explicit description of these cycles for a degeneration with at worst triple points as singularities. These cycles explain geometrically the presence of poles on specific local factors of the L-function related to $X \times X$. | |
| dc.description | 41 pages, LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/math/9801080 | |
| dc.identifier | http://arxiv.org/abs/math/9801080 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76505 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C25; 14C30; 14E10; 14D07 | |
| dc.title | The local monodromy as a generalized algebraic correspondence | |
| dc.type | text |