A Lê number addendum to the Morse Splitting Lemma
David B. Massey
Abstract
We investigate how the complex analytic Morse Splitting Lemma relates to the generic Lê numbers of a function, and what the relation tells us about the function. As special cases, we consider functions for which the 0-dimensional generic Lê number is at most 3 and functions for which the critical locus has dimension 1.
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