Milnor $K$-group attached to a torus and Birch-Tate conjecture
| dc.creator | Yamazaki, Takao | |
| dc.date | 2008-04-21 | |
| dc.date.accessioned | 2026-07-07T09:33:44Z | |
| dc.date.available | 2026-07-07T09:33:44Z | |
| dc.description | We formulate (and prove under a certain assumption) a conjecture relating the order of Somekawa's Milnor $K$-group attached to a torus $T$ and the value of the Artin $L$-function attached to the cocharacter group of $T$ (regarded as an Artin representation) at $s=-1$. The case $T=\G_m$ reduces to the classical Birch-Tate conjecture. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/0804.3260 | |
| dc.identifier | http://arxiv.org/abs/0804.3260 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159239 | |
| dc.subject | Number Theory | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 11R70 (Primary); 11R42, 19F15 (Secondary) | |
| dc.title | Milnor $K$-group attached to a torus and Birch-Tate conjecture | |
| dc.type | text |