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math.NT2013
On a local-global principle for of function fields of surfaces over a finite field
Alena Pirutka
Let K be the function field of a smooth projective surface over a finite field. In this article, following the work of Parimala and Suresh, we establish a local-global principle fo…
math.NT2011
A bound to kill the ramification over function fields
Alena Pirutka
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-…