Families of zero cycles and divided powers: I. Representability
| dc.creator | Rydh, David | |
| dc.date | 2008-03-05 | |
| dc.date.accessioned | 2026-07-07T09:24:53Z | |
| dc.date.available | 2026-07-07T09:24:53Z | |
| dc.description | For any separated algebraic space $X/S$ we construct a separated algebraic space $Γ^d(X/S)$ -- the space of divided powers -- which parameterizes zero cycles of degree $d$ on $X$. The space of divided powers for an affine scheme is given by the spectrum of the algebra of divided powers. In characteristic zero or when $X/S$ is flat, the constructed space coincides with the symmetric product $Sym^d(X/S)$. We also prove several fundamental results on the kernels of multiplicative polynomial laws necessary for the construction of $Γ^d(X/S)$. | |
| dc.description | 52 pages | |
| dc.identifier | https://arxiv.org/abs/0803.0618 | |
| dc.identifier | http://arxiv.org/abs/0803.0618 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156226 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C05; 14C25; 14L30 | |
| dc.title | Families of zero cycles and divided powers: I. Representability | |
| dc.type | text |