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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
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
Citation:
Vik. S. Kulikov, V. M. Kharlamov, “Automorphisms of Galois coverings of generic $m$-canonical projections”, Izv. Math., 73:1 (2009), 121–150
Linking options:
https://www.mathnet.ru/eng/im2723https://doi.org/10.1070/IM2009v073n01ABEH002440 https://www.mathnet.ru/eng/im/v73/i1/p121
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Abstract page: | 605 | Russian version PDF: | 241 | English version PDF: | 10 | References: | 45 | First page: | 8 |
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