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Fundamental groups of elliptic fibrations and the invariance of the plurigenera for surfaces with odd first Betti number


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.

Abstract

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.

Abstract

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.

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2 citations in Web of Science®
1 citation in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Elliptic fibrations; Fundamental groups; Plurigenera;Two-dimensional geometries
Language:English
Date:2005
Deposited On:19 Feb 2010 15:31
Last Modified:06 Dec 2017 20:46
Publisher:Urban und Fischer
ISSN:0723-0869
Publisher DOI:https://doi.org/10.1016/j.exmath.2005.01.008

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