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Uniform Skoda integrability and Calabi–Yau degeneration

Yang Li

Vol. 17 (2024), No. 7, 2247–2256
Abstract

We study polarised algebraic degenerations of Calabi–Yau manifolds. We prove a uniform Skoda-type estimate and a uniform L-estimate for the Calabi–Yau Kähler potentials.

Keywords
Skoda estimate, pluripotential, Calabi–Yau
Mathematical Subject Classification
Primary: 32Q25, 32U15
Milestones
Received: 14 July 2020
Revised: 8 November 2022
Accepted: 21 February 2023
Published: 21 August 2024
Authors
Yang Li
Massachusetts Institute of Technology
Cambridge, MA
United States

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