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Jan Stevens: Stably Newton non-degenerate singularities

Time: Tue 2017-12-19 13.15 - 14.15

Location: Room F11, KTH

Participating: Jan Stevens (Göteborgs universitet)

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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.

Belongs to: Stockholm Mathematics Centre
Last changed: Dec 08, 2017