Hien, Marco and Roucairol, Celine (2008) INTEGRAL REPRESENTATIONS FOR SOLUTIONS OF EXPONENTIAL GAUSS-MANIN SYSTEMS. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 136 (4). pp. 505-532. ISSN 0037-9484,
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Let f, g : U -> A(1) be two 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 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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | D-MODULES; DIRECT IMAGE; IRREGULARITY; COHOMOLOGY; Gauss-Manin systems; D-modules |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Professoren und akademische Räte im Ruhestand > Prof. Dr. Uwe Jannsen |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 11 Nov 2020 13:20 |
| Last Modified: | 11 Nov 2020 13:20 |
| URI: | https://pred.uni-regensburg.de/id/eprint/31566 |
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