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- W2983381525 abstract "In characteristic 2 and dimension 2, wild $${mathbb Z}/2{{mathbb {Z}}}$$ -actions on k[[u, v]] ramified precisely at the origin were classified by Artin, who showed in particular that they induce hypersurface singularities. We introduce in this article a new class of wild quotient singularities in any characteristic $$p>0$$ and dimension $$nge 2$$ arising from certain non-linear actions of $${mathbb {Z}}/p{mathbb {Z}}$$ on the formal power series ring $$k[[u_1,dots ,u_n]]$$ . These actions are ramified precisely at the origin, and their rings of invariants in dimension 2 are hypersurface singularities, with an equation of a form similar to the form found by Artin when $$p=2$$ . In higher dimension, the rings of invariants are not local complete intersection in general, but remain quasi-Gorenstein. We establish several structure results for such actions and their corresponding rings of invariants." @default.
- W2983381525 created "2019-11-22" @default.
- W2983381525 creator A5057770379 @default.
- W2983381525 creator A5082520908 @default.
- W2983381525 date "2019-11-15" @default.
- W2983381525 modified "2023-09-24" @default.
- W2983381525 title "Moderately ramified actions in positive characteristic" @default.
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- W2983381525 doi "https://doi.org/10.1007/s00209-019-02408-4" @default.
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