On the zeta-function of a polynomial at infinity
classification
🧮 math.AG
keywords
infinityzeta-functionpolynomialatypicalcalculationcasescomputationcriterium
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We use the notion of Milnor fibres of the germ of a meromorphic function and the method of partial resolutions for a study of topology of a polynomial map at infinity (mainly for calculation of the zeta-function of a monodromy). It gives effective methods of computation of the zeta-function for a number of cases and a criterium for a value to be atypical at infinity.
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