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On Descriptions of Products of Simplices* |
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Citation: |
Li YU,Mikiya MASUDA.On Descriptions of Products of Simplices*[J].Chinese Annals of Mathematics B,2021,42(5):777~790 |
Page view: 649
Net amount: 593 |
Authors: |
Li YU; Mikiya MASUDA |
Foundation: |
National Natural Science Foundation of China (No. 11871266) and the Priority Academic Program Development of Jiangsu Higher Education Institutions. |
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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. |
Keywords: |
Convex polytope, Product of simplices, Moment-angle complex |
Classification: |
52B11, 52B70, 53C21, 53C23, 57S17 |
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