Algebraic curves admitting the same Galois closure for two projections

A criterion for the existence of a plane model of an algebraic curve such that the Galois closures of projections from two points are the same is presented. Surprisingly, the Hermitian function field in positive characteristic becomes the Galois closure of projections of a plane curve from two non-u...

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Bibliographic Details
Published in:Annali di matematica pura ed applicata 2022, Vol.201 (5), p.2055-2061
Main Authors: Fukasawa, Satoru, Higashine, Kazuki, Takahashi, Takeshi
Format: Article
Language:English
Subjects:
Algebra
Curves
Mathematics
Mathematics and Statistics
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Summary:A criterion for the existence of a plane model of an algebraic curve such that the Galois closures of projections from two points are the same is presented. Surprisingly, the Hermitian function field in positive characteristic becomes the Galois closure of projections of a plane curve from two non-uniform points.
ISSN:0373-3114
1618-1891
DOI:10.1007/s10231-022-01191-0