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Dürr, M (2005). Fundamental groups of elliptic fibrations and the invariance of the plurigenera for surfaces with odd first Betti number. Expositiones Mathematicae, 23(1):1-22.
We study the fundamental groups of elliptic fibrations and the close relationship between the Kodaira dimension of an elliptic surface with odd first Betti number and the geometry of its base orbifold. We show that the plurigenera and hence the Kodaira dimension of a complex surface with odd first Betti number are determined by the isomorphism type of the fundamental group.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Uncontrolled Keywords: | Elliptic fibrations, Fundamental groups, Plurigenera, Two-dimensional geometries |
| Language: | English |
| Date: | 2005 |
| Deposited On: | 19 Feb 2010 15:31 |
| Last Modified: | 03 Mar 2025 02:37 |
| Publisher: | Urban und Fischer |
| ISSN: | 0723-0869 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1016/j.exmath.2005.01.008 |
Dürr, M