More projective geometry associated with unramified double covers of curves of genus four
type: Item
instance of: scholarly article
title: More projective geometry associated with unramified double covers of curves of genus four
zbMATH Open document ID: 0608.14024
DOI: 10.1007/BF01766586
author: A. Del Centina
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1985-01-01T00:00:00Z
review text: Let Y be a general curve of genus four over the complex field. With a 2- division point of \(Pic_{\theta}(Y)\) there is associated an unramified double cover of Y, a system Q of contact quadric to this cover, and a nonhyperelliptic curve X whose Jacobian is isomorphic to the associated Prym variety. - The paper under review is devoted to a study of Q and the construction of a bijection between the set of 28 bitangents to X (odd theta-characteristics of X) and the set of 28 degenerate quadrics of Q (pair of odd theta-characteristics of Y). The ultimate purpose of this work is to understand the geometry of the Schottky relation.
Mathematics Subject Classification ID: 14H30
Mathematics Subject Classification ID: 14H40
zbMATH DE Number: 3983367
zbMATH Keywords: curve of genus four
zbMATH Keywords: contact quadric
zbMATH Keywords: Prym variety
zbMATH Keywords: odd theta- characteristics
zbMATH Keywords: Schottky relation
MaRDI profile type: Publication
cites work: Some projective geometry associated with unramified double covers of curves of genus 4
cites work: Q4053768
cites work: Q5801760
description: scientific article; zbMATH DE number 3983367