Geometry on nodal curves
| dc.creator | Ran, Ziv | |
| dc.date | 2002-10-15 | |
| dc.date.accessioned | 2026-07-07T04:51:55Z | |
| dc.date.available | 2026-07-07T04:51:55Z | |
| dc.description | Given a family $X/B$ of nodal curves, we construct canonically and compatibly with base-change, via an explicit blow-up of the Cartesian product $X^r/B$, a family $W^r(X/B)$ parametrizing length-$r$ subschemes of fibres of $X/B$ (plus some additional data). Though $W^r(X/B)$ is singular, the important sheaves on it are locally free, which allows us to study intersection theory on it and deduce enumerative applications, including some relative multiple point formulae, enumerating the length-$r$ schemes contained simultaneously in some fibre of $X/B$ and some fibre of a given map from $X$ to a smooth variety. | |
| dc.identifier | https://arxiv.org/abs/math/0210209 | |
| dc.identifier | http://arxiv.org/abs/math/0210209 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65284 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14D06 14H10 14N10 14N35 | |
| dc.title | Geometry on nodal curves | |
| dc.type | text |