The Integral Chow Rings of the Moduli Stacks of Hyperelliptic Prym Pairs I

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 $(g-1)\mathrm{/}2$ pairs when the genus $g$ of the curve is odd.