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Izvestiya: Mathematics, 2004, Volume 68, Issue 6, Pages 1229–1275
DOI: https://doi.org/10.1070/IM2004v068n06ABEH000516 (Mi im516) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Birationally superrigid cyclic triple spaces

I. A. Cheltsov

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (647 kB) Citations (11)
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DOI: https://doi.org/10.1070/IM2004v068n06ABEH000516
Abstract: We prove the birational superrigidity and non-rationality of a cyclic triple covering of $\mathbb{P}^{2n}$ branched over a nodal hypersurface of degree $3n$ for $n\geqslant 2$. The result obtained solves the problem of birational superrigidity for smooth cyclic triple spaces. We also consider certain relevant problems.
Received: 11.05.2004
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2004, Volume 68, Issue 6, Pages 169–220
DOI: https://doi.org/10.4213/im516
Bibliographic databases:
UDC: 512.76
MSC: 14E05, 14E08, 14E20, 14G05, 14J45
Language: English
Original paper language: Russian
Citation: I. A. Cheltsov, “Birationally superrigid cyclic triple spaces”, Izv. RAN. Ser. Mat., 68:6 (2004), 169–220; Izv. Math., 68:6 (2004), 1229–1275
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v68/i6/p169
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:739
    Russian version PDF:205
    English version PDF:8
    References:70
    First page:2
     
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