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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…