2 citations · 6 across the 8 of their papers we have counts for
9 papers · 1 filter
Auto-Arcs of Complete Intersection Varieties
Andrew R. Stout
We systematically study the so-called auto-arc spaces. Auto-arc spaces were originally introduced by Schoutens in 2012 and later generalized and studied by the author in his PhD Th…
Formal deformations of algebraic spaces and generalizations of the motivic Igusa zeta function
Andrew R. Stout
We generalize the notion of the auto-Igusa zeta function to formal deformations of algebraic spaces. By incorporating data from all algebraic transformations of local coordinates,…
The auto-Igusa zeta function of a plane curve singularity is rational
Andrew R. Stout
It is shown that the auto Igusa zeta function of the germ of a plane curve singularity is rational. This gives a new criterion for a plane curve over an algebraically closed field…
On the auto Igusa-zeta function of an Algebraic Curve
Andrew Stout
We study endomorphisms of complete Noetherian local rings in the context of motivic integration. Using the notion of an auto-arc space, we introduce the (reduced) auto-Igusa zeta s…
A primitive change of variables formula for schemic motivic integration
Andrew R. Stout
We develop further the theory of integrable functions within the theory of relative simplicial motivic measures. We provide a primitive change of variables formula for this theory.
Integrable functions within the theory of schemic motivic integration
Andrew R. Stout
We develop notions of integrable functions within the theory of schemic motivic integration.
Measurable motivic sites
Andrew R. Stout
We introduce the notion of a relative limit simplicial partial motivic site and a corresponding notion of motivic measurability which specializes to the notion of finite schemic mo…
A Generalized Theorem of Katz and Motivic Integration
Andrew Stout
In what follows, we are interested in an extension of a theorem of Nicholas Katz, which will be useful in studying the cohomology of generalized arc spaces develop by Hans Schouten…
Arc Stability and Schemic Motivic Integration
Andrew Stout
We present a general, functorial approach to Motivic Integration for separated schemes of finite type in lieu of recent work by Hans Schoutens on the subject. Presented is a change…