Multiplicity modulo two as a metric invariant

Guillaume Valette
Polish Academy of Science


The multiplicity of a real analytic hypersurface defined by a reduced analytic equation P = 0, is the lowest homogeneous degree in the Taylor expansion of P . Modulo \(2\) it is independent of the chosen reduced equation. This talk will address the following question: Is multiplicity modulo \(2\) a metric invariant ? I will give some partial answers.

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