Abstract
We calculate the classes of the universal hyperelliptic Weierstrass divisor $\bar{{\mathcal H}}_{g,w}$ and the universal $g^1_2$ divisor $\bar{{\mathcal H}}_{g,g^1_2}$. Our results are expressed in terms of a basis for $Cl(\bar{{\mathcal H}}_{g,1})$ and $Cl(\bar{{\mathcal H}}_{g,2})$ computed by Scavia.
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