Cohomologie Automorphe et Compactifications partielles de certaines variétés de Griffiths-Schmid
| dc.creator | Carayol, Henri | |
| dc.date | 2004-02-03 | |
| dc.date.accessioned | 2026-07-07T05:05:04Z | |
| dc.date.available | 2026-07-07T05:05:04Z | |
| dc.description | We study some automorphic cohomology classes of degree one on the Griffiths-Schmid varieties attached to some unitary groups in 3 variables. Using partial compactifications of those varieties, constructed by K. Kato and S. Usui, we define for such a cohomology class some analogues of Fourier-Shimura coefficients, which are cohomology classes on certain elliptic curves. We show that a large space of such automorphic classes can be generated by those with rational "coefficients". More precisely, we consider those cohomology classes that come from Picard modular forms, via some Penrose-like transform studied in a previous article : we prove that the coefficients of the classes thus obtained can be computed from the coefficients of the Picardform by a similar transform defined at the level of the elliptic curve. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0402027 | |
| dc.identifier | http://arxiv.org/abs/math/0402027 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70041 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11F99, 14K25, 32C35, 32E10, 32M10, 32N99 | |
| dc.title | Cohomologie Automorphe et Compactifications partielles de certaines variétés de Griffiths-Schmid | |
| dc.type | text |