On certain remarkable curves of genus five.
type: Item
instance of: scholarly article
title: On certain remarkable curves of genus five.
zbMATH Open document ID: 1057.14036
DOI: 10.1016/S0019-3577(04)80003-X
published in: Indagationes Mathematicae. New Series
publication date: 2005-01-03T00:00:00Z
review text: Here the author shows the existence of smooth genus five curves having exactly \(24\) Weierstrass points, which constitute the set of fixed points of \(3\) different elliptic involution, and proves that all such curves are bielliptic double covers of Fermat's quartic. To construct the example he uses the projective geometry of elliptic normal quartics in \(\mathbb P^3\), i.e. the geometry of the smooth complete intersections of two quadric surfaces.
reviewed by: E. Ballico
Mathematics Subject Classification ID: 14H45
Mathematics Subject Classification ID: 14H50
Mathematics Subject Classification ID: 14H55
Mathematics Subject Classification ID: 14N05
zbMATH DE Number: 2124774
zbMATH Keywords: bielliptic curve
zbMATH Keywords: bielliptic involution
zbMATH Keywords: Fermat quartic
zbMATH Keywords: double covering of the Fermat's quartic
author: A. Del Centina
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2124774