Orlik's integral diagonalization conjecture for weighted homogeneous monodromy
Orlik's integral diagonalization conjecture for weighted homogeneous monodromy
Assume and that is weighted homogeneous. Let be the matrix of the monodromy operator on with respect to a basis, let be the dimension of this homology group, and let be the identity matrix. Orlik's conjecture. The matrix can be diagonalized over the integers: there exist unimodular matrices and with entries in such that
where divides for . This would give an integral Smith-type decomposition of the monodromy matrix in the weighted homogeneous case; the source provides no resolution of the conjecture.
Sources & referencesView supporting material
Primary source
Wolfgang Ebeling, “Monodromy”, arXiv:math/0507171 (2005).
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