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math.AC2020
Higher derivations of modules and the Hasse-Schmidt module
Christopher Chiu, Luis Narváez Macarro
In this paper we revisit Ribenboim's notion of higher derivations of modules and relate it to the recent work of De Fernex and Docampo on the sheaf of differentials of the arc spac…
math.AG2020★ 5 cited
Embedding codimension of the space of arcs
Christopher Chiu, Tommaso de Fernex, Roi Docampo
We introduce a notion of embedding codimension of an arbitrary local ring, establish some general properties, and study in detail the case of arc spaces of schemes of finite type o…