Calculation of Milnor number of isolated singularity of complete intersection

Mixed Bruce–Roberts numbers

“…If g : (C n , 0) → (C p , 0) is an icis, then we denote by μ(g) the Milnor number of g (see [11,16,21]). We recall that, when p = n,…”

The Milnor-Palamodov Theorem for Functions on Isolated Hypersurface Singularities

“…The Milnor-Palamodov theorem has been generalised in a number of cases and in particular for the isolated complete intersection singularities (the famous Lê-Greuel formula (Greuel 1975;Lê 1974), as well as for the so called isolated boundary sin-B Konstantinos Kourliouros k.kourliouros@gmail.com 1 ICMC-USP, Av. Trabalhador Sancarlsense, 400, São Carlos, Sào Paulo, Brazil gularities of Arnol'd (1978) (see Kourliouros 2015 for a proof), consisting of pairs ( f , V ) where f is an isolated singularity and V is a smooth hypersurface such that the restriction f V of f on V also has an isolated singularity.…”

“…The following theorem is the Lê-Greuel formula in the form given by Greuel (1975) [also proved by Lê D. Tráng in a different form in Lê (1974)] relating the Milnor number μ( f V ) of the isolated complete intersection f V with the analytic invariant…”