On Descriptions of Products of Simplices*


Li YU,Mikiya MASUDA.On Descriptions of Products of Simplices*[J].Chinese Annals of Mathematics B,2021,42(5):777~790
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Li YU; Mikiya MASUDA


National Natural Science Foundation of China (No. 11871266) and the Priority Academic Program Development of Jiangsu Higher Education Institutions.
Abstract: The authors give several new criteria to judge whether a simple convex polytope in a Euclidean space is combinatorially equivalent to a product of simplices. These criteria are mixtures of combinatorial, geometrical and topological conditions that are inspired by the ideas from toric topology. In addition, they give a shorter proof of a well known criterion on this subject.


Convex polytope, Product of simplices, Moment-angle complex


52B11, 52B70, 53C21, 53C23, 57S17
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