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

Author
Assarf, B.; Joswig, M.; Pfeifle, J.
Type of activity
Journal article
Journal
Journal of combinatorial theory. Series A
Date of publication
2018-10-01
Volume
159
First page
183
Last page
214
DOI
https://doi.org/10.1016/j.jcta.2018.05.007 Open in new window
URL
https://www.sciencedirect.com/science/article/pii/S0097316518300748 Open in new window
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 partially ordered sets associated with any triangulation of a point set with one marked point, the web of stars and the stabbing poset. Triangulations of smooth Fano polytopes are discussed as a case study.
Keywords
Polytope free sums, Smooth Fano polytopes, Triangulations of point configurations
Group of research
GAPCOMB - Geometric, Algebraic and Probabilistic Combinatorics

Participants