5 citations · 7 across the 7 of their papers we have counts for
7 papers
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…
On the formal neighborhood of a degenerate arc
Christopher Chiu, Herwig Hauser
We prove a result describing the structure of the formal neighborhoods of certain arcs in the arc space of an algebraic variety which are completely contained in the singular locus…
Sym-Noetherianity for powers of GL-varieties
Christopher H. Chiu, Alessandro Danelon, Jan Draisma +2
Much recent literature concerns finiteness properties of infinite-dimensional algebraic varieties equipped with an action of the infinite symmetric group, or of the infinite genera…
On arc fibers of morphisms of schemes
Christopher Chiu, Tommaso de Fernex, Roi Docampo
Given a morphism of schemes over a field, we prove several finiteness results about the fibers of the induced map on arc spaces $f_\infty \colon X_\infty \to Y_\…
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…
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…
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…