Computing Hodge-theoretic invariants of singularities (Q2754591)

For an isolated hypersurface singularity \(f: ({\mathbb C}^{n+1},0)\to({\mathbb C},0)\) the spectrum is a discrete invariant consisting of \(\mu\) rational numbers \(\alpha_1,\dots,\alpha_\mu\) with \(-1<\alpha_1\leq\dots\leq\alpha_\mu<n\) and \(\alpha_i+\alpha_{\mu+1-i}=n-1\). The numbers \(e^{-2\pi i\alpha_1},\dots, e^{-2\pi i\alpha_\mu}\) are the eigenvalues of the monodromy. NEWLINENEWLINENEWLINEThe authors give an algorithm for computing the spectrum based on the \({\mathcal D}\)-module approach.NEWLINENEWLINEFor the entire collection see [Zbl 0968.00034].