Jan Stevens: Stably Newton non-degenerate singularities
Tid: Ti 2017-12-19 kl 13.15 - 14.15
Plats: Room F11, KTH
Medverkande: Jan Stevens (Göteborgs universitet)
We discuss a problem of Arnold, whether every function is stably equivalent to one which is non-degenerate for its Newton diagram. The answer is negative. The easiest example is the function \(x^p\) in characteristic p. Many singularities are stably Newton non-degenerate. An analysis of our methods leads to an example where they do not work. We conjecture that this function is in fact not stably equivalent to a non-degenerate function.