Many projectively unique polytopes

We construct an infinite family of 4-polytopes whose realization spaces have dimension smaller or equal to 96 . This in particular settles a problem going back to Legendre and Steinitz: whether and how the dimension of the realization space of a polytope is determined/bounded by its f -vector. From...

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Veröffentlicht in:	Inventiones mathematicae 2015-03, Vol.199 (3), p.581-652
Hauptverfasser:	Adiprasito, Karim A., Ziegler, Günter M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundaries Cauchy problem Conjugates Construction Manifolds Mathematics Mathematics and Statistics Perl Polytopes Texts Transformations
Online-Zugang:	Volltext
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