On Descriptions of Products of Simplices

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 add...

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Bibliographic Details
Published inChinese annals of mathematics. Serie B Vol. 42; no. 5; pp. 777 - 790
Main Authors Yu, Li, Masuda, Mikiya
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2021
Springer Nature B.V
Department of Mathematics,Nanjing University,Nanjing,210093,China%Department of Mathematics,Osaka City University,Sugimoto,Sumiyoshi-ku,Osaka 558-8585,Japan
Subjects
Applications of Mathematics
Combinatorial analysis
Criteria
Euclidean geometry
Euclidean space
Mathematics
Mathematics and Statistics
Topology
57S17
53C23
52B11
53C21
Convex polytope
Product of simplices
Moment-angle complex
52B70
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ISSN0252-9599
1860-6261
DOI10.1007/s11401-021-0290-5

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Summary: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.
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ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-021-0290-5