4 papers
Grauert's Approximation Theorem in any Characteristic and Applications
Gert-Martin Greuel, Gerhard Pfister
In his seminal Inventiones paper from 1972 Grauert proved the existence of a semiuniversal deformation of an arbitrary complex analytic isolated singularity. For the proof he inven…
The Splitting Lemma in any Characteristic
Gert-Martin Greuel, Gerhard Pfister
We give a simple proof of the splitting lemma in singularity theory, also known as generalized Morse lemma, for formal power series over arbitrary fields. Our proof for the uniquen…
Classification of simple 0-dimensional isolated complete intersection singularities
Thuy Huong Pham, Gerhard Pfister, Gert-Martin Greuel
The aim of this article is the classification of simple 0-dimensional isolated complete intersection singularities in positive characteristic. As usual, a singularity is called sim…
Moduli Parameters of Complex Singularities with Non-Degenerate Newton Boundary
Janko Boehm, Magdaleen S. Marais, Gerhard Pfister
Our recent extension of Arnold's classification includes all singularities of corank up to two equivalent to a germ with a non-degenerate Newton boundary, thus broadening the class…