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arXiv · 1105.3942

A bound to kill the ramification over function fields

Alena Pirutka
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Abstract

Let k be a field of characteristic zero, let X be a geometrically integral k-variety of dimension n and let K be its field of fractions. Under the assumption that K contains all r-th roots of unity for an integer r, we prove that, given an element in H^m(K, Z/r), it becomes unramified in the extension of K obtained by adding r-th roots of some n^2 functions in K.

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Alena Pirutka. 2011-05-19. A bound to kill the ramification over function fields. https://arxiv.org/abs/1105.3942

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