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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) Russian version article
References:
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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 2k1⋅3k2 in the projective space P2k1+3k2 provided that k2⩾2 and k1+2k2=dimV⩾12, 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
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. Math., 77:4 (2013), 795–845
Citation in format AMSBIB
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\by A.~V.~Pukhlikov
\paper Birationally rigid complete intersections of quadrics and cubics
\jour Izv. Math.
\yr 2013
\vol 77
\issue 4
\pages 795--845
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Linking options:
  • https://www.mathnet.ru/eng/im7999
  • https://doi.org/10.1070/IM2013v077n04ABEH002661
  • https://www.mathnet.ru/eng/im/v77/i4/p161
    • This publication is cited in the following 7 articles:
    1. Kobina Brandon Jamieson, Springer Proceedings in Mathematics & Statistics, 409, Birational Geometry, Kähler–Einstein Metrics and Degenerations, 2023, 343  crossref
    2. Suzuki F., “Birational Superrigidity and K-Stability of Projectively Normal Fano Manifolds of Index One”, Mich. Math. J., 70:4 (2021), 779–792  crossref  mathscinet  isi
    3. Ziquan Zhuang, “Birational superrigidity and K-stability of Fano complete intersections of index 1”, Duke Math. J., 169:12 (2020)  crossref
    4. D. Evans, A. V. Pukhlikov, “Birationally rigid complete intersections of high codimension”, Izv. Math., 83:4 (2019), 743–769  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    5. A. V. Pukhlikov, “Automorphisms of certain affine complements in projective space”, Sb. Math., 209:2 (2018), 276–289  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    6. A. V. Pukhlikov, “Canonical and log canonical thresholds of Fano complete intersections”, Eur. J. Math., 4:1, 1, SI (2018), 381–398  crossref  mathscinet  zmath  isi  scopus
    7. Aleksandr V. Pukhlikov, “The Gabrielov-Khovanskii problem for polynomials”, Arnold Math. J., 2:1 (2016), 29–68  mathnet  crossref  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:526
    Russian version PDF:194
    English version PDF:23
    References:59
    First page:15
     
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