Abstract:In [9], Esnault-Viehweg developed the theory of cyclic branched coverings X → X of smooth surfaces providing a very explicit formula for the decomposition of H 1 ( X, C) in terms of a resolution of the ramification locus. Later, in [1] the first author applies this to the particular case of coverings of P 2 reducing the problem to a combination of global and local conditions on projective curves.In this paper we extend the above results in three directions: first, the theory is extended to surfaces with abelia… Show more
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