3 papers
math.AG2026
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…
math.AG2025
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…
math.AG2025
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…