Affine parts of abelian surfaces as complete intersections of four quadrics
type: Item
instance of: scholarly article
title: Affine parts of abelian surfaces as complete intersections of four quadrics
zbMATH Open document ID: 0675.14023
DOI: 10.1007/BF01458063
published in: Mathematische Annalen
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164284
review text: In the two algebraically integrable cases of geodesic flow on SO(4) described by \textit{M. Adler} and \textit{P. van Moerbeke} [Proc. Natl. Acad. Sci. USA 81, 4613-4616 (1984; Zbl 0545.58027)] there are four integrals of motion defining in \({\mathbb{C}}^ 6=Lie(SO(4))\otimes {\mathbb{C}}\) some affine abelian surfaces as complete intersections of four quadrics. In the paper under review the author presents some geometric properties characterizing these abelian surfaces.
Mathematics Subject Classification ID: 14M10
Mathematics Subject Classification ID: 14K99
Mathematics Subject Classification ID: 37D40
Mathematics Subject Classification ID: 53D25
Mathematics Subject Classification ID: 14J25
zbMATH DE Number: 4105129
zbMATH Keywords: geodesic flow
zbMATH Keywords: integrals of motion
zbMATH Keywords: abelian surfaces
zbMATH Keywords: complete intersections
author: Wolf P. Barth
MaRDI profile type: Publication
cites work: The algebraic integrability of geodesic flow on SO(4)
cites work: Geodesic flow on SO(4) and the intersection of quadrics
cites work: On the equations defining Abelian varieties. I-III
cites work: Q4195061
OpenAlex ID: W2055224390
description: scientific article; zbMATH DE number 4105129