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Elliptic curves, abelian surfaces and the icosahedron. (Elliptische Kurven, abelsche Flächen und das Ikosaeder.) (German) Zbl 0704.52005
Here is mainly given an overview of many results concerning relationships between elliptic curves, abelian surfaces and the icosahedron. Note, that the known discovery of crystallographs obtaining man-made alloys with quasi-crystal structure and icosahedral symmetries in particular intensifies the interest in such investigations.
Reviewer: V.F.Ignatenko

MSC:
52B15 Symmetry properties of polytopes
14H52 Elliptic curves
14K05 Algebraic theory of abelian varieties
51M20 Polyhedra and polytopes; regular figures, division of spaces
82D25 Statistical mechanical studies of crystals
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