Аннотация:
The main goal of this paper is to give a list of problems closely connected to moment-angle complexes, polyhedral products, and toric varieties. Another purpose is to exhibit the ubiquity and utility of these spaces which have been the subject of seminal work of Buchstaber–Panov [15], [16] as well as many others. References: 77 entries.
Ключевые слова и фразы:arrangements, cohomology ring, moment-angle complex, simplicial complex, simplicial sets, stable splittings, Stanley–Reisner ring, suspensions, toric varieties.