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math.AG2013★ 4 cited
The Brauer Group of an Affine Double Plane Associated to a Hyperelliptic Curve
Timothy J. Ford
For an affine double plane defined by an equation of the form z^2 = f, we study the divisor class group and the Brauer group. Two cases are considered. In the first case, f is a pr…
math.AG2013★ 5 cited
The Group of Units on an Affine Variety
Timothy J. Ford
The object of study is the group of units O^\ast(X) in the coordinate ring of a normal affine variety X over an algebraically closed field k. Methods of Galois cohomology are appli…