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Webs of stars or how to triangulate free sums of point configurations

Published 28 Dec 2015 in math.CO | (1512.08411v2)

Abstract: The triangulations of point configurations which decompose as a free sum are classified in terms of the triangulations of the summands. The methods employ two new kinds of partially ordered sets to be associated with any triangulation of a point set with one point marked, the "web of stars" and the "stabbing poset". Triangulations of smooth Fano polytopes are discussed as a case study.

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