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Izv. RAN. Ser. Mat., 2013, Volume 77, Issue 4, Pages 161–214 (Mi izv7999)  

This article is cited in 3 scientific papers (total in 3 papers)

Birationally rigid complete intersections of quadrics and cubics

A. V. Pukhlikov

University of Liverpool

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 $k_2\ge2$ and $k_1+2k_2=\dim V\ge12$, and of certain families of Fano complete intersections of dimensions 10 and 11.

Keywords: Fano variety, complete intersection, birational rigidity, maximal singularity, multiplicity.

DOI: https://doi.org/10.4213/im7999

Full text: PDF file (790 kB)
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English version:
Izvestiya: Mathematics, 2013, 77:4, 795–845

Bibliographic databases:

UDC: 512.7
MSC: 14E05, 14J45, 14M10
Received: 11.05.2012
Revised: 17.09.2012

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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  • http://mi.mathnet.ru/eng/izv7999
  • https://doi.org/10.4213/im7999
  • http://mi.mathnet.ru/eng/izv/v77/i4/p161

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. V. Pukhlikov, “Automorphisms of certain affine complements in projective space”, Sb. Math., 209:2 (2018), 276–289  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    2. 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
    3. D. Evans, A. V. Pukhlikov, “Birationally rigid complete intersections of high codimension”, Izv. Math., 83:4 (2019), 743–769  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
  • Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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