4 citations · 21 across the 29 of their papers we have counts for
30 papers
A differential-algebraic criterion for obtaining a small maximal Cohen-Macaulay module
Hans Schoutens
We show how for a three-dimensional complete local ring in positive characteristic, the existence of an F-invariant, differentiable derivation implies Hochster's small MCM conjectu…
Degree spectra for transcendence in fields
Iskander Kalimullin, Russell Miller, Hans Schoutens
We show that for both the unary relation of transcendence and the finitary relation of algebraic independence on a field, the degree spectra of these relations may consist of any s…
A Computable Functor From Graphs to Fields
Russell Miller, Bjorn Poonen, Hans Schoutens +1
We construct a fully faithful functor from the category of graphs to the category of fields. Using this functor, we resolve a longstanding open problem in computable model theory,…
Poincare Series of Non-divisorial Valuations on Two-dimensional Function Fields
Charles Li, Hans Schoutens
We use dual graphs and generating sequences of valuations to compute the Poincare series of non-divisorial valuations on function fields of dimension two. The Poincare series are s…
Maximal Cohen-Macaulay modules over local toric rings
Hans Schoutens
In analogy with the classical, affine toric rings, we define a local toric ring as the quotient of a regular local ring modulo an ideal generated by binomials in a regular system o…
Hochster's small MCM conjecture for three-dimensional weakly F-split rings
Hans Schoutens
We prove Hochster's small MCM conjecture for three-dimensional complete F-pure rings. We deduce this from a more general criterion, and show that only a weakening of the notion of…