@article{10902/2585,
year = {2000},
month = {1},
url = {http://hdl.handle.net/10902/2585},
abstract = {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 ?1+...+? r of point configurations and of coherent polyhedral subdivisions of the associated Cayley embedding ?(?1,...,? 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 of Lawrence polytopes provides a new independent proof of the Bohne-Dress theorem on zonotopal tilings. This application uses a combinatorial characterization of lifting subdivisions, also originally proved by Santos.},
publisher = {EUROPEAN MATHEMATICAL SOCIETY},
publisher = {Journal of the European Mathematical Society,Volume 2, Issue 2 , pp 179-198 (2000)},
title = {The Cayley Trick, lifting subdivisions and the Bohne-Dress theorem on zonotopal tilings},
author = {Huber, Birkett and Rambau, Jörg and Santos, Francisco},
}