3 papers
math.AG2025
The Drinfeld-Grinberg-Kazhdan theorem and embedding codimension of the arc space
Christopher Heng Chiu
We prove an extension of the theorem of Drinfeld, Grinberg and Kazhdan to arcs with arbitrary residue field. As an application we show that the embedding codimension is generically…
math.AG2021
Isosingular loci of algebraic varieties
Christopher Chiu, Herwig Hauser
We define the notion of isosingular loci of algebraic varieties, following the analytic case first studied by Ephraim. In particular, we give a partial extension of his main result…
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…