Hien, Marco (2007) Periods for irregular singular connections on surfaces. MATHEMATISCHE ANNALEN, 337 (3). pp. 631-669. ISSN 0025-5831,
Full text not available from this repository. (Request a copy)Abstract
Given an integrable connection on a smooth quasi-projective algebraic surface U over a subfield k of the complex numbers, we define rapid decay homology groups with respect to the associated analytic connection which pair with the algebraic de Rham cohomology in terms of period integrals. These homology groups generalize the analogous groups in the same situation over curves defined by Bloch and Esnault. In dimension two, however, new features appear in this context which we explain in detail. Assuming a conjecture of Sabbah on the formal classification of meromorphic connections on surfaces (known to be true if the rank is lower than or equal to 5), we prove perfectness of the period pairing in dimension two.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DETERMINANT; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 21 Dec 2020 11:36 |
| Last Modified: | 21 Dec 2020 11:36 |
| URI: | https://pred.uni-regensburg.de/id/eprint/33135 |
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