# The Brauer group of an affine double plane associated to a hyperelliptic curve

@inproceedings{Ford2017TheBG, title={The Brauer group of an affine double plane associated to a hyperelliptic curve}, author={Timothy J. Ford}, year={2017} }

We study the Brauer group of an affine double plane π:X→𝔸2 defined by an equation of the form z2 = f in two separate cases. In the first case, f is a product of n linear forms in k[x,y] and X is birational to a ruled surface ℙ1×C, where C is rational if n is odd and hyperelliptic if n is even. In the second case, f = y2−p(x) is the equation of an affine hyperelliptic curve. For π as well as the unramified part of π, we compute the groups of divisor classes, the Brauer groups, the relative… CONTINUE READING

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