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20242026
most citedClassification of simple 0-dimensional isolated complete intersection singularities

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.AG2026

Semicontinuity for families of power series II

Gert-Martin Greuel, Gerhard Pfister

The present article is a generalization of our paper \cite{GP21}, together with new applications. The original problem came up in connection with the classification of singularitie…

math.AG2025

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.AG2024★ 1 cited

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…

math.AG2024

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…