Coverings of rational ruled normal surfaces

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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 Q-normal crossing divisors.

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Bartolo, E. A., Cogolludo-Agustín, J. I., & Martín-Morales, J. (2018). Coverings of rational ruled normal surfaces. In Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics: Festschrift for Antonio Campillo on the Occasion of his 65th Birthday (pp. 343–373). Springer International Publishing. https://doi.org/10.1007/978-3-319-96827-8_13

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