Products of Brauer Severi surfaces
| dc.creator | Hogadi, Amit | |
| dc.date | 2007-06-23 | |
| dc.date.accessioned | 2026-07-07T08:12:05Z | |
| dc.date.available | 2026-07-07T08:12:05Z | |
| dc.description | Let $\{P_i\}_{1 \leq i \leq r}$ and $\{Q_i\}_{1 \leq i \leq r}$ be two collections of Brauer Severi surfaces (resp. conics) over a field $k$. We show that the subgroup generated by the $P_i's$ in $Br(k)$ is the same as the subgroup generated by the $Q_i's$ \iff $ΠP_i $ is birational to $ΠQ_i$. Moreover in this case $ΠP_i$ and $ΠQ_i$ represent the same class in $M(k)$, the Grothendieck ring of $k$-varieties. The converse holds if $char(k)=0$. Some of the above implications also hold over a general noetherian base scheme. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/0706.3447 | |
| dc.identifier | http://arxiv.org/abs/0706.3447 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132332 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E05,14M99 | |
| dc.title | Products of Brauer Severi surfaces | |
| dc.type | text |