On the slope of bielliptic fibrations
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- by Miguel A. Barja PDF
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Abstract:
Let $\pi :S\longrightarrow B$ be a bielliptic fibration. We prove $S$ is, up to base change, a rational double cover of an elliptic fibration and that $\pi$ is isotrivial provided it is smooth. Finally, we prove that the slope of $\pi$ is at least four provided the genus of the fibre is at least six.References
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Additional Information
- Miguel A. Barja
- Affiliation: Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Diagonal 647, 08028 Barcelona, Spain
- Email: barja@ma1.upc.es
- Received by editor(s): December 12, 1997
- Received by editor(s) in revised form: October 29, 1999
- Published electronically: December 4, 2000
- Additional Notes: Partially supported by CICYT PS93-0790 and HCM project n.ERBCHRXCT-940557.
- Communicated by: Ron Donagi
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 1899-1906
- MSC (2000): Primary 14H10; Secondary 14J29
- DOI: https://doi.org/10.1090/S0002-9939-00-05865-2
- MathSciNet review: 1825895
Dedicated: A la memoria de Fernando