Inversion of Adjunction for the minimal exponent

Abstract We prove that the minimal exponent for local complete intersections satisfies an Inversion-of-Adjunction property. As a result, we also obtain the Inversion of Adjunction for higher Du Bois and higher rational singularities for local complete intersections.

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Publication Details

Journal
Forum of Mathematics Sigma
Published
2025-01-01
DOI
https://doi.org/10.1017/fms.2025.45
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
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article

Inversion of Adjunction for the minimal exponent

Qiyue Chen
Forum of Mathematics Sigma
Algebraic Geometry and Number Theory
article

Inversion of Adjunction for the minimal exponent

Qiyue Chen
article en

Abstract

Abstract We prove that the minimal exponent for local complete intersections satisfies an Inversion-of-Adjunction property. As a result, we also obtain the Inversion of Adjunction for higher Du Bois and higher rational singularities for local complete intersections.

Forum of Mathematics SigmaVol. 13
University of Michigan (US)
Openalex Percentile: Top 84%
Algebraic Geometry and Number Theory
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Inversion of Adjunction for the minimal exponent — Qiyue Chen · Forum of Mathematics Sigma (2025) | TGRS Research Map | TGRS