Publication Date:
2013-02-20
Description:
Given ( X , 0)(C n , 0) a weighted homogeneous germ of hypersurface with isolated singularity and f :(C n , 0)-〉(C, 0) a germ of function finitely determined with respect to X , we show that μ BR ( X , f )=μ( f )+μ( X , f ), where μ( f ) and μ( X , f ) denote the Milnor numbers of f and of the fiber X f –1 (0), respectively, and μ BR ( X , f ) is the Bruce–Roberts number of f with respect to X . We show that the logarithmic characteristic subvariety LC( X ) is Cohen–Macaulay and we get relations between the Bruce–Roberts number and the Euler obstruction.
Print ISSN:
0033-5606
Electronic ISSN:
1464-3847
Topics:
Mathematics
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