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arxiv: 1803.04545 · v1 · pith:YUMIGN3Cnew · submitted 2018-03-12 · 🧮 math.AG

Coverings of rational ruled normal surfaces

classification 🧮 math.AG
keywords surfacescoveringsdivisorsnormalrationalruledalongarithmetic
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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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