Mayer-Vietoris sequences and Brauer groups of nonnormal domains
Mayer-Vietoris sequences and Brauer groups of nonnormal domains
Let <italic>R</italic> be a Noetherian domain with finite integral closure <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper R overbar"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mover> <mml:mi>R</mml:mi> <mml:mo stretchy="false">¯<!-- ¯ --></mml:mo> </mml:mover> </mml:mrow> <mml:annotation encoding="application/x-tex">\bar R</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. We study the map from the Brauer group of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper R comma …