6 papers
Global algebraic linear differential operators
Stefan Günther
In this note, we want to investigate the question, given a projective algebraic scheme X/k and coherent sheaves F, E on X, when do global differential operators of order N greater…
Basics of jet modules and algebraic linear differential operators
Stefan Günther
In this paper, we collect the fundamental basic properties of jet modules in algebraic geometry and related properties of differential operators. We claim no originality but we wan…
A Note on Algebraic Linear Partial Differential Equations
Stefan Günther
In this note, we show that a very general system of algebraic linear partial differential equations has zero kernel, applying basic techniques of the theory of jet-modules and elem…
Valuation theoretic methods in the birational geometry of algebraic varieties
Stefan Günther
In this paper, we give a valuation formula for rational top differential forms of function fields in characteristic zero for arbitrary Abhyankar places generalizing the classical v…
Valuation Theory, Riemann Varieties and the Structure of integral Preschemes
Stefan Günther
In this work we show that the classical subject of general valuation theory and Zariski-Riemann varieties has a much wider scope than commutative algebra and desingularization theo…
A Short Note on Polynomial Automorphisms
Stefan Günther
In this paper, we construct explicitely polynomial automorphisms of affine n-space for certain n. More precisely, we construct algebraic subgroups of the general polynomial group G…