Isoresidual fibers for two-zero differentials on the sphere carry translation structures whose Euler characteristics follow a wall-and-chamber pattern in residue space, with connected components classified for genus-zero strata.
Compactification of strata of abelian di fferentials
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Isoresidual curves
Isoresidual fibers for two-zero differentials on the sphere carry translation structures whose Euler characteristics follow a wall-and-chamber pattern in residue space, with connected components classified for genus-zero strata.