For odd genus g, the integral Chow rings of the balanced hyperelliptic Prym component and of the unordered divisor stack are explicitly computed as quotient rings.
The Integral Chow Rings of the Moduli Stacks of Hyperelliptic Prym Pairs I
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abstract
This paper is the first in a series dedicated to computing the integral Chow rings of the moduli stacks of Prym pairs. In this work, we compute the Chow ring for Prym pairs arising from a single pair of Weierstrass points and from at most $(g-1)/2 $ pairs when the genus $g$ of the curve is odd.
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The Integral Chow Rings of the Moduli Stacks of Hyperelliptic Prym Pairs II
For odd genus g, the integral Chow rings of the balanced hyperelliptic Prym component and of the unordered divisor stack are explicitly computed as quotient rings.