A Chebotarev-type density theorem for divisors on algebraic varieties
نویسندگان
چکیده
Let Z → X be a nite branched Galois cover of normal projective geometrically integral varieties of dimension d ≥ 2 over a perfect eld k. For such a cover, we prove a Chebotarev-type density result describing the decomposition behaviour of geometrically integral Cartier divisors. As an application, we classify Galois covers among all nite branched covers of a given normal geometrically integral variety X over k by the decomposition behaviour of points of a xed codimension r with 0 < r < dimX.
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