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On the slope of bielliptic fibrations
Author(s):
Miguel
A.
Barja
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1899-1906.
MSC (2000):
Primary 14H10;
Secondary 14J29
Posted:
December 4, 2000
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Abstract:
Let be a bielliptic fibration. We prove is, up to base change, a rational double cover of an elliptic fibration and that is isotrivial provided it is smooth. Finally, we prove that the slope of is at least four provided the genus of the fibre is at least six.
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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
DOI:
10.1090/S0002-9939-00-05865-2
PII:
S 0002-9939(00)05865-2
Received by editor(s):
December 12, 1997
Received by editor(s) in revised form:
October 29, 1999
Posted:
December 4, 2000
Additional Notes:
Partially supported by CICYT PS93-0790 and HCM project n.ERBCHRXCT-940557.
Dedicated:
A la memoria de Fernando
Communicated by:
Ron Donagi
Copyright of article:
Copyright
2000,
American Mathematical Society
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