Algebraic cycles on Severi-Brauer schemes of prime degree over a curve
| dc.creator | Gonzalez-Aviles, Cristian D. | |
| dc.date | 2007-01-29 | |
| dc.date.accessioned | 2026-07-07T07:43:39Z | |
| dc.date.available | 2026-07-07T07:43:39Z | |
| dc.description | Let $k$ be a perfect field and let $p$ be a prime number different from the characteristic of $k$. Let $C$ be a smooth, projective and geometrically integral $k$-curve and let $X$ be a Severi-Brauer $C$-scheme of relative dimension $p-1$ . In this paper we show that $CH^{d}(X)_{\rm{tors}}$ contains a subgroup isomorphic to $CH_{0}(X/C)$ for every $d$ in the range $2\leq d\leq p$. We deduce that, if $k$ is a number field, then $CH^{d}(X)$ is finitely generated for every $d$ in the indicated range. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0701861 | |
| dc.identifier | http://arxiv.org/abs/math/0701861 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122912 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C25; 14C15 | |
| dc.title | Algebraic cycles on Severi-Brauer schemes of prime degree over a curve | |
| dc.type | text |