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Remarks on
eigenspectra of isolated singularities
Ben Castor, Haohua Deng, Matt Kerr and Gregory Pearlstein |
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Vol. 327 (2023), No. 1, 29–54
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Abstract |
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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
isolated singularity, nodes, spectrum, eigenspectrum,
quasihomogeneous singularity, Calabi–Yau variety, variation
of Hodge structure, monodromy
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Mathematical Subject Classification
Primary: 14D06, 14D07, 14J17, 32S25, 32S35
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Milestones
Received: 8 November 2022
Revised: 21 December 2023
Accepted: 21 December 2023
Published: 18 February 2024
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Authors |
| Ben Castor | |
| Department of Mathematics Kenyon College Gambier, OH United States |
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| Haohua Deng | |
| Mathematics Department Duke University Durham, NC United States |
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| Matt Kerr | |
| Department of Mathematics and
Statistics Washington University in St. Louis St. Louis, MO United States |
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| Gregory Pearlstein | |
| Dipartimento di Matematica Università di Pisa Pisa Italy |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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