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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
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.
DOI:
https://doi.org/10.4213/im8175
 Full text:
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English version:
Izvestiya: Mathematics, 2014, 78:5, 986–1005
Bibliographic databases:
     
Document Type:
Article
UDC:
512.7
MSC: 14E20, 14J29, 14J80, 32Q55
Received: 15.10.2013
Citation:
Vik. S. Kulikov, V. M. Kharlamov, “On numerically pluricanonical cyclic coverings”, Izv. RAN. Ser. Mat., 78:5 (2014), 143–166; Izv. Math., 78:5 (2014), 986–1005
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/izv8175https://doi.org/10.4213/im8175 http://mi.mathnet.ru/eng/izv/v78/i5/p143
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