Generalized Suita conjectures with jets and weights

Annales de l’institut Fourier 2026 Open access

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Authors: Wang Xu, Xiangyu Zhou
DOI: 10.5802/aif.3756
Cited by: 0
References: 26

Abstract

We survey different approaches to Suita’s conjecture and its various generalizations. We present a new and unified proof for generalized Suita conjectures with jets and weights, which is based on the concavity of certain minimal L 2 integrals and the necessary condition for linearity. Additionally, we provide some examples and counterexamples for the equalities in generalized Suita conjectures.

Fields of Study & Subjects

Holomorphic and Operator Theory Geometry and complex manifolds Analytic and geometric function theory

Publication details

Journal / source
Annales de l’institut Fourier
Pages
1–28
Publication date
26 January 2026
Language
EN