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Izvestiya: Mathematics, 2013, Volume 77, Issue 4, Pages 795–845
DOI: https://doi.org/10.1070/IM2013v077n04ABEH002661 (Mi im7999) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Birationally rigid complete intersections of quadrics and cubics

A. V. Pukhlikov

University of Liverpool
English version PDF (560 kB) Citations (7)
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DOI: https://doi.org/10.1070/IM2013v077n04ABEH002661
Abstract: We prove the birational superrigidity of generic Fano complete intersections $V$ of type $2^{k_1}\cdot3^{k_2}$ in the projective space ${\mathbb P}^{2k_1+3k_2}$ provided that $k_2\geqslant2$ and $k_1+2k_2=\dim V\geqslant12$, and of certain families of Fano complete intersections of dimensions 10 and 11.
Keywords: Fano variety, complete intersection, birational rigidity, maximal singularity, multiplicity.
Received: 11.05.2012
Revised: 17.09.2012
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2013, Volume 77, Issue 4, Pages 161–214
DOI: https://doi.org/10.4213/im7999
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: 14E05, 14J45, 14M10
Language: English
Original paper language: Russian
Citation: A. V. Pukhlikov, “Birationally rigid complete intersections of quadrics and cubics”, Izv. RAN. Ser. Mat., 77:4 (2013), 161–214; Izv. Math., 77:4 (2013), 795–845
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v77/i4/p161
    • This publication is cited in the following 7 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:457
    Russian version PDF:181
    English version PDF:12
    References:43
    First page:15
     
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