Affine parts of abelian surfaces as complete intersections of four quadrics (Q1121958)
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scientific article; zbMATH DE number 4105129
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Affine parts of abelian surfaces as complete intersections of four quadrics |
scientific article; zbMATH DE number 4105129 |
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Affine parts of abelian surfaces as complete intersections of four quadrics (English)
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1987
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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.
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geodesic flow
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integrals of motion
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abelian surfaces
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complete intersections
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