Motivic interpretation of Milnor $K$-groups attached to Jacobian varieties
| dc.creator | Mochizuki, Satoshi | |
| dc.date | 2006-03-10 | |
| dc.date.accessioned | 2026-07-07T07:06:45Z | |
| dc.date.available | 2026-07-07T07:06:45Z | |
| dc.description | In the paper M. Somekawa, {\it{On Milnor $K$-groups attached at semi-Abelian varieties}}, K-theory, \textbf{4} (1990) p.105, Somekawa conjectures that his Milnor K-group $K(k,G_1,...,G_r)$ attached to semi-abelian varieties $G_1$,...,$G_r$ over a field $k$ is isomorphic to ${\rm Ext}_{\mathcal{M}_k}^r(\mathbb{Z},G_1[-1] \otimes ... \otimes G_r[-1])$ where $\mathcal{M}_k$ is a certain category of motives over $k$. The purpose of this note is to give remarks on this conjecture, when we take $\mathcal{M}_k$ as Voevodsky's category of motives ${\rm DM}^{eff}_{-}(k)$ . | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/math/0603241 | |
| dc.identifier | http://arxiv.org/abs/math/0603241 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110138 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 19F15;11R58;14L10;14C25;14F42 | |
| dc.title | Motivic interpretation of Milnor $K$-groups attached to Jacobian varieties | |
| dc.type | text |