Level-two-structures and hyperelliptic curves
type: Item
instance of: scholarly article
title: Level-two-structures and hyperelliptic curves
zbMATH Open document ID: 0923.11077
published in: Osaka Journal of Mathematics
publication date: 1997-07-03T00:00:00Z
review text: The author derives applications of his earlier work on graded rings of Siegel modular forms, theta constants and coding theory to geometry. In particular he uses several exceptional isomorphisms of subgroups of the symplectic groups to symmetric groups. This leads to some results on Specht modules. Moreover the geometry of the Igusa desingularization in genus 2 and level 2 is described. The coordinates are always theta constants. They are also used in order to obtain the equations of the Humbert surfaces in genus 2 and of the hyperelliptic points in genus 3.
Mathematics Subject Classification ID: 11F46
Mathematics Subject Classification ID: 14H52
zbMATH DE Number: 1014603
zbMATH Keywords: graded rings of Siegel modular forms
zbMATH Keywords: theta constants
zbMATH Keywords: coding theory
zbMATH Keywords: Specht modules
zbMATH Keywords: Igusa desingularization
zbMATH Keywords: Humbert surfaces
zbMATH Keywords: hyperelliptic points
author: Bernhard Runge
reviewed by: Aloys Krieg
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1014603