High Quality Content by WIKIPEDIA articles! In mathematics, and particularly singularity theory, the Milnor number, named after John Milnor, is an invariant of a function germ. For f be a complex-valued holomorphic function germ then the Milnor number of f, denoted ?(f), is either an integer greater than or equal to zero, or it is infinite. It can be considered both a geometric invariant and an algebraic invariant. This is why it plays an important role in algebraic geometry and singularity theory.

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