Evaluating the wild Brauer group
Evaluating the wild Brauer group
Abstract Classifying elements of the Brauer group of a variety $X$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>X</mml:mi> </mml:math> over a $p$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>p</mml:mi> </mml:math> -adic field by the $p$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>p</mml:mi> </mml:math> -adic accuracy needed to evaluate them gives a filtration on $\operatorname{Br}X$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mo>Br</mml:mo> <mml:mi>X</mml:mi> </mml:math> . We relate …