Affiliation:
1. Departamento de Matemática, Universidade Federal de São Carlos , Caixa Postal 676, 13560-905 São Carlos, SP, Brazil
Abstract
Abstract
We relate a number of invariants of a function germ with isolated singularity over an isolated complete intersection singularity (ICIS), generalizing our previous results, [17, 18], as a consequence we present a new relatively elementary proof of Greuel’s theorem that for a weighted homogeneous ICIS the Milnor number is equal to Tjurina number. With this relation, we are able to prove that the relative logarithmic characteristic variety is Cohen–Macaulay at any point and the logarithmic characteristic variety is Cohen–Macaulay at any point not in $X\times \{0\}$.
Publisher
Oxford University Press (OUP)
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