paper

Remarks on eigenspectra of isolated singularities

arXiv:2211.04648 · doi:10.2140/pjm.2023.327.29

Abstract

We introduce a simple calculus, extending a variant of the Steenbrink spectrum, for describing Hodge-theoretic invariants of (smoothings of) isolated singularities with (relative) automorphisms. After computing these "eigenspectra" in the quasi-homogeneous case, we give three applications to singularity bounding and monodromy of VHS.

25 pages; version to appear in Pacific Journal of Mathematics