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Izvestiya: Mathematics, 2014, Volume 78, Issue 5, Pages 986–1005
DOI: https://doi.org/10.1070/IM2014v078n05ABEH002715 (Mi im8175) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On numerically pluricanonical cyclic coverings

Vik. S. Kulikova, V. M. Kharlamovb

a Steklov Mathematical Institute of the Russian Academy of Sciences
b University Louis Pasteur
English version PDF (353 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM2014v078n05ABEH002715
Abstract: We investigate some properties of cyclic coverings $f\colon Y\to X$ (where $X$ is a complex surface of general type) branched along smooth curves $B\subset X$ that are numerically equivalent to a multiple of the canonical class of $X$. Our main results concern coverings of surfaces of general type with $p_g=0$ and Miyaoka–Yau surfaces. In particular, such coverings provide new examples of multi-component moduli spaces of surfaces with given Chern numbers and new examples of surfaces that are not deformation equivalent to their complex conjugates.
Keywords: numerically pluricanonical cyclic coverings of surfaces, irreducible components of moduli spaces of surfaces.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00185
Ministry of Education and Science of the Russian Federation НШ-2998.2014.1
11.G34.31.0023
Agence Nationale de la Recherche ANR-09-BLAN-0039-01
Received: 15.10.2013
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2014, Volume 78, Issue 5, Pages 143–166
DOI: https://doi.org/10.4213/im8175
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: 14E20, 14J29, 14J80, 32Q55
Language: English
Original paper language: Russian
Citation: Vik. S. Kulikov, V. M. Kharlamov, “On numerically pluricanonical cyclic coverings”, Izv. Math., 78:5 (2014), 986–1005
Citation in format AMSBIB
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\by Vik.~S.~Kulikov, V.~M.~Kharlamov
\paper On numerically pluricanonical cyclic coverings
\jour Izv. Math.
\yr 2014
\vol 78
\issue 5
\pages 986--1005
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  • https://doi.org/10.1070/IM2014v078n05ABEH002715
  • https://www.mathnet.ru/eng/im/v78/i5/p143
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:146
    English version PDF:8
    References:36
    First page:12
     
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