Geodesic
The integral monodromy of the cycle type singularities
Journal of Singularities, Tome 25 (2022), pp. 268-298

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The middle homology of the Milnor fiber of a quasihomogeneous polynomial with an isolated singularity is a $\Z$-lattice and comes equipped with an automorphism of finite order, the integral monodromy. Orlik (1972) made a precise conjecture, which would determine this monodromy in terms of the weights of the polynomial. Here we prove this conjecture for the cycle type singularities. A paper of Cooper (1982) with the same aim contained two mistakes. Still it is very useful. We build on it and correct the mistakes. We give additional algebraic and combinatorial results.
DOI : 10.5427/jsing.2022.25l
Classification : 55U15, 55T05, 58K10, 32S50 
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Claus Hertling; Makiko Mase. The integral monodromy of the cycle type singularities. Journal of Singularities, Tome 25 (2022), pp. 268-298. doi: 10.5427/jsing.2022.25l

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