Mu-constant families and simultaneous embedded resolutions

Institut de Mathématiques de Jussieu-Paris Rive Gauche

Date(s) : 02/12/2021   iCal
14 h 00 min - 15 h 00 min

We will show that a mu constant family of isolated singularities (here, mu stands for the Milnor number) which is Newton non-degenerate admits a simultaneous embedded resolution. We also will mention how this result gives a new approach of the so called mu-constant problem which predicts that in a mu-constant family, the topological type is invariant; this problem is open (only) in dimension 2 (families of surfaces).

All the notions in the above abstract will be introduced and illustrated with examples.

This is a joint work with Maximiliano Leyton-Alvarez and Mark Spivakovsky.


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