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• W2963267002 abstract "We study the components of the Hurwitz scheme of ramified coverings of P1 with monodromy given by the alternating group A6 and elements in the conjugacy class of product of two disjoint cycles. In order to detect the connected components of the Hurwitz scheme, inspired by the case of the spin structures studied by Fried for the 3-cycles, we use as invariant the lifting to the Valentiner group, a triple covering of A6. We prove that the Hurwitz scheme has two irreducible components when the genus of the covering is greater than zero, in accordance with the asymptotic solution found by Bogomolov and Kulikov." @default.
• W2963267002 created "2019-07-30" @default.
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• W2963267002 date "2018-01-01" @default.
• W2963267002 modified "2023-09-24" @default.
• W2963267002 title "Hurwitz spaces and liftings to the Valentiner group" @default.
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• W2963267002 doi "https://doi.org/10.1016/j.jpaa.2017.03.002" @default.
• W2963267002 hasPublicationYear "2018" @default.
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