Some Remarks on the Wiman–Edge Pencil-Reference-Cited by-同舟云学术

Some Remarks on the Wiman–Edge Pencil

Published:2018-02-15 Issue:2 Volume:61 Page:401-412
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Zamora Alexis G.

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference15 articles.

1. Zur Theorie der endlichen Gruppen von birationalen Transformationen in der Ebene

2. On complex surfaces with 5 or 6 semistable singular fibers over ?1

3. The minimal number of singular fibers of a semi stable curve over ℙ1;Tan;J. Algebraic Geom.,1995

4. A pencil in with three points at the boundary

5. Families of curves over with 3 singular fibers

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