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Izvestiya: Mathematics, 2009, Volume 73, Issue 1, Pages 121–150
DOI: https://doi.org/10.1070/IM2009v073n01ABEH002440
(Mi im2723)
 

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

Automorphisms of Galois coverings of generic $m$-canonical projections

Vik. S. Kulikova, V. M. Kharlamovb

a Steklov Mathematical Institute, Russian Academy of Sciences
b University Louis Pasteur
References:
Abstract: We investigate the automorphism groups of Galois coverings induced by pluricanonical generic coverings of projective spaces. In dimensions one and two, it is shown that such coverings yield sequences of examples where specific actions of the symmetric group $S_d$ on curves and surfaces cannot be deformed together with the action of $S_d$ into manifolds whose automorphism group does not coincide with $S_d$. As an application, we give new examples of complex and real $G$-varieties which are diffeomorphic but not deformation equivalent.
Keywords: generic coverings of projective lines and planes, Galois group of a covering, Galois extensions, automorphism group of a projective variety.
Received: 04.09.2007
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: English
Original paper language: Russian
Citation: Vik. S. Kulikov, V. M. Kharlamov, “Automorphisms of Galois coverings of generic $m$-canonical projections”, Izv. Math., 73:1 (2009), 121–150
Citation in format AMSBIB
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\by Vik.~S.~Kulikov, V.~M.~Kharlamov
\paper Automorphisms of Galois coverings of generic $m$-canonical projections
\jour Izv. Math.
\yr 2009
\vol 73
\issue 1
\pages 121--150
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Linking options:
  • https://www.mathnet.ru/eng/im2723
  • https://doi.org/10.1070/IM2009v073n01ABEH002440
  • https://www.mathnet.ru/eng/im/v73/i1/p121
  • This publication is cited in the following 3 articles:
    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:605
    Russian version PDF:241
    English version PDF:10
    References:45
    First page:8
     
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