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Some Remarks on the Wiman–Edge Pencil

Part of: Curves Families, fibrations

Published online by Cambridge University Press:  15 February 2018

Alexis G. Zamora
Alexis G. Zamora*
Affiliation:
U. A. Matemáticas, U.de Zacatecas, Camino a la Bufa y Calzada Solidaridad, C.P. 98000, Zacatecas, Zac.Mexico ([email protected])
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Abstract

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We rewrite in modern language a classical construction by W. E. Edge showing a pencil of sextic nodal curves admitting A5 as its group of automorphism. Next, we discuss some other aspects of this pencil, such as the associated fibration and its connection to the singularities of the moduli of six-dimensional abelian varieties.

Keywords

group actionsfibred surfacesabelian varieties

MSC classification

Primary: 14H40: Jacobians, Prym varieties 14H37: Automorphisms 14D06: Fibrations, degenerations 14H50: Plane and space curves
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 61 , Issue 2 , May 2018 , pp. 401 - 412
Copyright
Copyright © Edinburgh Mathematical Society 2018 

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