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The cover associated to a (1,3)-polarized bielliptic abelian surface and its branch locus

Published online by Cambridge University Press:  20 January 2009

Gianfranco Casnati
Gianfranco Casnati
Affiliation:
Dipartimento di Matematica Pura ed Applicata, Università degli Studi di Padova, via Belzoni 7, I-35131 Padova, Italy E-mail address: casnati@math.unipd.it
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Let A be an abelian surface and let |D| be a polarization of type (1,3) on A. If (A,|D|) is not a product of elliptic curves, such a polarization induces a finite morphism Q: A →p2C of degree 6. In this paper we describe the branch locus of Q when A is bielliptic in thesense of K. Hulek and S. H. Weintraub (see [13]), generalizing the results proved by Ch. Birkenhake and H. Lange in [4].

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 42 , Issue 2 , June 1999 , pp. 375 - 392
Copyright
Copyright © Edinburgh Mathematical Society 1999

References

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