REMARKS ON EIGENSPECTRA OF ISOLATED SINGULARITI

Ben Castor; Haohua Deng; Matt Kerr; Gregory Pearlstein

doi:10.2140/pjm.2023.327.29

REMARKS ON EIGENSPECTRA OF ISOLATED SINGULARITI

Ben Castor
, Haohua Deng
, Matt Kerr
, Gregory Pearlstein

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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).

Original language	English
Pages (from-to)	29-54
Number of pages	26
Journal	Pacific Journal of Mathematics
Volume	327
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2023.327.29
State	Published - 2024

Keywords

Calabi–Yau variety
eigenspectrum
isolated singularity
monodromy
nodes
quasihomogeneous singularity
spectrum
variation of Hodge structure

Access to Document

10.2140/pjm.2023.327.29

Cite this

@article{2ad31a2a2c1f4b789511175b4a986ab1,

title = "REMARKS ON EIGENSPECTRA OF ISOLATED SINGULARITI",

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).",

keywords = "Calabi–Yau variety, eigenspectrum, isolated singularity, monodromy, nodes, quasihomogeneous singularity, spectrum, variation of Hodge structure",

author = "Ben Castor and Haohua Deng and Matt Kerr and Gregory Pearlstein",

note = "Publisher Copyright: {\textcopyright} 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). Open Access made possible by subscribing institutions via Subscribe to Open.",

year = "2024",

doi = "10.2140/pjm.2023.327.29",

language = "English",

volume = "327",

pages = "29--54",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

number = "1",

}

TY - JOUR

T1 - REMARKS ON EIGENSPECTRA OF ISOLATED SINGULARITI

AU - Castor, Ben

AU - Deng, Haohua

AU - Kerr, Matt

AU - Pearlstein, Gregory

N1 - Publisher Copyright: © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). Open Access made possible by subscribing institutions via Subscribe to Open.

PY - 2024

Y1 - 2024

N2 - 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).

AB - 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).

KW - Calabi–Yau variety

KW - eigenspectrum

KW - isolated singularity

KW - monodromy

KW - nodes

KW - quasihomogeneous singularity

KW - spectrum

KW - variation of Hodge structure

UR - https://www.scopus.com/pages/publications/85186924377

U2 - 10.2140/pjm.2023.327.29

DO - 10.2140/pjm.2023.327.29

M3 - Article

AN - SCOPUS:85186924377

SN - 0030-8730

VL - 327

SP - 29

EP - 54

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 1

ER -

REMARKS ON EIGENSPECTRA OF ISOLATED SINGULARITI

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this