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The generalized Baues problem for cyclic polytopes. II.

Athanasiadis, Christos A.; Rambau, Jörg; Santos, Francisco — 1999

Publications de l'Institut Mathématique. Nouvelle Série

The Cayley Trick, lifting subdivisions and the Bohne-Dress theorem on zonotopal tilings

Birkett Huber; Jörg Rambau; Francisco Santos — 2000

Journal of the European Mathematical Society

In 1994, Sturmfels gave a polyhedral version of the Cayley Trick of elimination theory: he established an order-preserving bijection between the posets of coherent mixed subdivisions of a Minkowski sum $𝒜_{1} + \dots + 𝒜_{r}$ of point configurations and of coherent polyhedral subdivisions of the associated Cayley embedding $𝒞 (𝒜_{1}, \dots, 𝒜_{r})$ . In this paper we extend this correspondence in a natural way to cover also non-coherent subdivisions. As an application, we show that the Cayley Trick combined with results of Santos on subdivisions...

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