Cyclic coverings of abelian varieties and the Goryachev-Chaplygin top
type: Item
instance of: scholarly article
title: Cyclic coverings of abelian varieties and the Goryachev-Chaplygin top
zbMATH Open document ID: 0778.14007
DOI: 10.1007/BF01934352
author: Luis A. Piovan
published in: Mathematische Annalen
publication date: 1993-01-12T00:00:00Z
full work available at URL: https://eudml.org/doc/165028
review text: A particular type of complex algebraic varieties, arising as completion of the invariant manifold of a generalized algebraic complete integrable system, is studied. The author proves that in dimension 2 the invariant surfaces are of general type and calculates (in principle) their birational invariants. Using Painlevé analysis, a compactification of the invariant surfaces for a Goryachev-Chaplygin top system is also constructed.
Mathematics Subject Classification ID: 14L24
Mathematics Subject Classification ID: 14J29
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 86212
zbMATH Keywords: invariant surfaces of general type
zbMATH Keywords: algebraic complete integrable system
zbMATH Keywords: birational invariants
reviewed by: József Szilasi
MaRDI profile type: Publication
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cites work: Painleve analysis, Yoshida's theorems and direct methods in the search for integrable Hamiltonians
description: scientific article; zbMATH DE number 86212