English

Remarks on eigenspectra of isolated singularities

Algebraic Geometry 2024-02-21 v2

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.

Keywords

Cite

@article{arxiv.2211.04648,
  title  = {Remarks on eigenspectra of isolated singularities},
  author = {Ben Castor and Haohua Deng and Matt Kerr and Gregory Pearlstein},
  journal= {arXiv preprint arXiv:2211.04648},
  year   = {2024}
}

Comments

25 pages; version to appear in Pacific Journal of Mathematics

R2 v1 2026-06-28T05:28:09.057Z