On the periods of motives with complex multiplication and a conjecture of Gross-Deligne
| dc.creator | Maillot, V. | |
| dc.creator | Roessler, D. | |
| dc.date | 2002-09-14 | |
| dc.date.accessioned | 2026-07-07T04:50:52Z | |
| dc.date.available | 2026-07-07T04:50:52Z | |
| dc.description | We prove that the existence of an automorphism of finite order on a (defined over a number field) variety X implies the existence of algebraic linear relations between the logarithm of certain periods of X and the logarithm of special values of the Gamma-function. This implies that a slight variation of results by Anderson, Colmez and Gross on the periods of CM abelian varieties is valid for a larger class of CM motives. In particular, we prove a weak form of the period conjecture of Gross-Deligne. Our proof relies on the arithmetic fixed point formula (equivariant arithmetic Riemann-Roch theorem) proved by K. Koehler and the second author, and the vanishing of the equivariant analytic torsion for the Dolbeault complex. | |
| dc.description | 20 pages, submitted | |
| dc.identifier | https://arxiv.org/abs/math/0209177 | |
| dc.identifier | http://arxiv.org/abs/math/0209177 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64947 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11R42, 14K22, 14K20, 14C30, 14C40, 14G40 | |
| dc.title | On the periods of motives with complex multiplication and a conjecture of Gross-Deligne | |
| dc.type | text |