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arXiv · 1308.0516

On numerically pluricanonical cyclic coverings

Viatcheslav Kharlamov·Viktor Kulikov
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Abstract

In this article, we investigate some properties of cyclic coverings of complex surfaces of general type branched along smooth curves that are numerically equivalent to a multiple of the canonical class. The main results concern coverings of surfaces of general type with p_g=0 and Miyaoka--Yau surfaces; in particular, they provide new examples of multicomponent moduli spaces of surfaces with given Chern numbers as well as new examples of surfaces that are not deformation equivalent to their complex conjugates.

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Viatcheslav Kharlamov, Viktor Kulikov. 2013-10-28. On numerically pluricanonical cyclic coverings. https://arxiv.org/abs/1308.0516

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