Periods for rank 1 irregular singular connections on surfaces
| dc.creator | Hien, Marco | |
| dc.date | 2005-05-23 | |
| dc.date | 2006-02-20 | |
| dc.date.accessioned | 2026-07-07T06:40:01Z | |
| dc.date.available | 2026-07-07T06:40:01Z | |
| dc.description | We define a period pairing for flat, irregular singular, rank one connections, satisfying a technical condition regarding its stationary set, on complex surfaces between de Rham cohomology of the connection and a modified singular homology, the rapid decay homology. We prove that this gives a perfect duality. A 2-dimensional version of confluent hypergeometrics are contructed as an example. | |
| dc.description | 28 pages; previous version partly incorrect (for higher rank case), new version contains case of line bundles and a new example. v3: technical assumption inserted (Definition 1.1) | |
| dc.identifier | https://arxiv.org/abs/math/0505474 | |
| dc.identifier | http://arxiv.org/abs/math/0505474 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101293 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 14F40; 32S40; 25A20; 32C38 | |
| dc.title | Periods for rank 1 irregular singular connections on surfaces | |
| dc.type | text |