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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:
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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
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http://mi.mathnet.ru/eng/izv7999https://doi.org/10.4213/im7999 http://mi.mathnet.ru/eng/izv/v77/i4/p161
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:
-
A. V. Pukhlikov, “Automorphisms of certain affine complements in projective space”, Sb. Math., 209:2 (2018), 276–289
 -
A. V. Pukhlikov, “Canonical and log canonical thresholds of Fano complete intersections”, Eur. J. Math., 4:1, 1, SI (2018), 381–398
-
D. Evans, A. V. Pukhlikov, “Birationally rigid complete intersections of high codimension”, Izv. Math., 83:4 (2019), 743–769
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