A non-Archimedean analogue of the Hodge-D-conjecture for products of elliptic curves
| dc.creator | Sreekantan, Ramesh | |
| dc.date | 2008-03-05 | |
| dc.date.accessioned | 2026-07-07T09:24:53Z | |
| dc.date.available | 2026-07-07T09:24:53Z | |
| dc.description | In this paper we show that the map % $$\partial:CH^2(E_1 \times E_2,1)\otimes \Q \longrightarrow PCH^1(\XX_v)$$ % is surjective, where $E_1$ and $E_2$ are two non-isogenous semistable elliptic curves over a local field, $CH^2(E_1 \times E_2,1)$ is one of Bloch's higher Chow groups and $PCH^1(\XX_v)$ is a certain subquotient of a Chow group of the special fibre $\XX_{v}$ of a semi-stable model $\XX$ of $E_1 \times E_2$. On one hand, this can be viewed as a non-Archimedean analogue of the Hodge-$\D$-conjecture of Beilinson - which is known to be true in this case by the work of Chen and Lewis \cite{lech}, and on the other, an analogue of the works of Speiß \cite{spie}, Mildenhall \cite{mild} and Flach \cite{flac} in the case when the elliptic curves have split multiplicative reduction. | |
| dc.description | 13 pages. To appear in the Journal of Algebraic Geometry | |
| dc.identifier | https://arxiv.org/abs/0803.0589 | |
| dc.identifier | http://arxiv.org/abs/0803.0589 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156221 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | A non-Archimedean analogue of the Hodge-D-conjecture for products of elliptic curves | |
| dc.type | text |