Integral representations for solutions of exponential Gauss-Manin systems
| dc.creator | Hien, Marco | |
| dc.creator | Roucairol, Celine | |
| dc.date | 2007-04-13 | |
| dc.date.accessioned | 2026-07-07T07:56:32Z | |
| dc.date.available | 2026-07-07T07:56:32Z | |
| dc.description | Let f,g be two algebraically independent regular functions from the smooth affine complex variety U to the affine line. The associated exponential Gauss-Manin systems on the affine line are defined to be the cohomology sheaves of the direct image of the exponential differential system $\mathcal{O}_U e^g $ with respect to f. We prove that its holomorphic solutions admit representations in terms of period integrals over topological chains with possibly closed support and with rapid decay condition. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/0704.1739 | |
| dc.identifier | http://arxiv.org/abs/0704.1739 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127341 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32S40; 32C38; 14F40 | |
| dc.title | Integral representations for solutions of exponential Gauss-Manin systems | |
| dc.type | text |