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A Chebotarev-type density theorem for divisors on algebraic varieties

URN to cite this document:
urn:nbn:de:bvb:355-epub-159171
Holschbach, Armin
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Date of publication of this fulltext: 19 Jul 2010 08:49


Abstract

Let Z -> X be a finite branched Galois cover of normal projective geometrically integral varieties of dimension d >- 2 over a perfect field 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 ...

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