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Funktsional'nyi Analiz i ego Prilozheniya, 2001, Volume 35, Issue 2, Pages 3–11
DOI: https://doi.org/10.4213/faa241 (Mi faa241) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Classification Problem for Quasitoric Manifolds over a Given Simple Polytope

N. E. Dobrinskaya

M. V. Lomonosov Moscow State University
Full-text PDF (160 kB) Citations (12)
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DOI: https://doi.org/10.4213/faa241
Abstract: The classification problem for quasitoric manifolds over a given polytope $P^n$ is considered. The known construction of weights, which was used in the study of the similar problem for toric manifolds, is modified. The construction thus obtained is applied to the solution of the above problem in small dimensions. Classification results are also obtained for polytopes that are products of finitely many simplices of arbitrary dimensions.
Received: 26.10.1999
English version:
Functional Analysis and Its Applications, 2001, Volume 35, Issue 2, Pages 83–89
DOI: https://doi.org/10.1023/A:1017593930511
Bibliographic databases:
Document Type: Article
UDC: 515.16
Language: Russian
Citation: N. E. Dobrinskaya, “Classification Problem for Quasitoric Manifolds over a Given Simple Polytope”, Funktsional. Anal. i Prilozhen., 35:2 (2001), 3–11; Funct. Anal. Appl., 35:2 (2001), 83–89
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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