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

Remarks on eigenspectra of isolated singularities

Gregory Pearlstein
Membro del Collaboration Group
2023-01-01

Abstract

We introduce a simple calculus, extending a variant of the Steenbrink spectrum, to describe Hodge-theoretic invariants for smoothings of isolated singularities with relative automorphisms. After computing these “eigenspectra” in the quasihomogeneous case, we give three applications to singularity bounding and monodromy of variations of Hodge structure (VHS).
2023
Castor, Ben; Deng, Haohua; Kerr, Matt; Pearlstein, Gregory
File in questo prodotto:
File Dimensione Formato  
pjm-v327-n1-p02-p.pdf

accesso aperto

Tipologia: Versione finale editoriale
Licenza: Creative commons
Dimensione 492.2 kB
Formato Adobe PDF
492.2 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1248548
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact