Seven combinatorial problems around isolated quasihomogeneous singularities
The authors formulate seven combinatorial problems around formulas for the characteristic polynomial and the spectral numbers of a quasihomogeneous singularity. One of them is obtained in the search of a combinatorial proof of an amendment to an old conjecture of Orlik on the integral monodromy of an isolated quasihomogeneous singularity. The problems are formulated in terms of weight systems, cyclotomic polynomials, elementary divisors, tensor products etc.
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