5 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…
Singularities in any Characteristic
Gert-Martin Greuel
We give an overview of the fundamental definitions and results concerning hypersurface singularities, defined by convergent power series over an arbitrary real valued field. This a…
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…
Classification of Unimodal Parametric Plane Curve Singularities in Positive Characteristic
Muhammad Ahsan Binyamin, Gert-Martin Greuel, Khawar Mehmood +1
In 2011, Hefez and Hernandes completed Zariski's analytic classification of plane branches belonging to a certain equisingularity class by creating "very short" parameterizations o…