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- W2902674611 abstract "We give an answer in the geometric setting to a question of de Fernex, Ein, and Ishii, asking when local isomorphisms of $k$-schemes can be detected on the associated maps of local arc or jet schemes. In particular, we show that their ideal-closure operation $mathfrak amapsto mathfrak a^{mathrm{ac}}$ (the arc-closure) on a local $k$-algebra $(R,mathfrak m,L)$ is trivial when $R$ is Noetherian and $khookrightarrow L$ is separable, and thus that such a germ $mathrm{Spec} R$ has the (embedded) local isomorphism property." @default.
- W2902674611 created "2018-12-11" @default.
- W2902674611 creator A5062173872 @default.
- W2902674611 date "2018-11-30" @default.
- W2902674611 modified "2023-09-27" @default.
- W2902674611 title "Arc closures and the local isomorphism problem" @default.
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