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By a result of Moonen, there are exactly 20 positive-dimensional families of cyclic covers of the projective line for which the Torelli image is open and dense in the associated Shimura variety. For each of these, we compute the Newton polygons, and the $$\mu $$ μ -ordinary Ekedahl–Oort type, occurring in the characteristic p reduction of the Shimura variety. We prove that all but a few of the Newton...
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