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- W2029724410 abstract "Let S be a smooth affine algebraic curve, and let S' be the Riemann surface obtained by removing a point from S. We provide evidence for the congruence subgroup property of the mapping class group Mod(S') by showing that its congruence kernel lies in the centralizer of every braid in Mod(S'). As a corollary, we obtain a new proof of Asada's theorem that the congruence subgroup property holds in genus one. We also obtain simple-connectivity of Boggi's procongruence curve complex for curves with at least two punctures, as well as a new proof of Matsumoto's theorem that the congruence kernel depends only on the genus in the affine case." @default.
- W2029724410 created "2016-06-24" @default.
- W2029724410 creator A5036298954 @default.
- W2029724410 date "2011-09-06" @default.
- W2029724410 modified "2023-09-27" @default.
- W2029724410 title "Congruence kernels around affine curves" @default.
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