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Abstract

In this work we use arithmetic, geometric, and combinatorial techniques to compute the cohomology of Weil divisors of a special class of normal surfaces, the so-called rational ruled toric surfaces. These computations are used to study the topology of cyclic coverings of such surfaces ramified along \(\mathbb {Q}\)-normal crossing divisors.

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Acknowledgements

The authors are partially supported by MTM2016-76868-C2-2-P.

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Correspondence to Enrique Artal Bartolo .

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Artal Bartolo, E., Cogolludo-Agustín, J.I., Martín-Morales, J. (2018). Coverings of Rational Ruled Normal Surfaces. In: Greuel, GM., Narváez Macarro, L., Xambó-Descamps, S. (eds) Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics. Springer, Cham. https://doi.org/10.1007/978-3-319-96827-8_13

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