Abstract
where f:C n, 0 ÷ C, 0 is a germ of holomorphic function with iso- lated critica~ point, h:C n, 0 ÷ C is a germ of holomorphic function, h(O) ~ O, and ~ is the complex parameter of the problem, under biholomorphisms preserving the hypersurface {f = 0~. (These conditions on f, h are assumed to be satisfied throughout the paper~) We indicate the number of moduli of such forms for fixed f, and we give the local classification
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