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ON K-STABILITY OF CALABI-YAU FIBRATIONS

Published online by Cambridge University Press:  19 March 2025

Masafumi Hattori Open the ORCID record for Masafumi Hattori [Opens in a new window]
Masafumi Hattori*
Affiliation:
Department of Mathematics, Faculty of Science, Kyoto University, Kyoto, 606-8502, Japan
*
hattori.masafumi.47z@st.kyoto-u.ac.jp
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Abstract

We show that Calabi–Yau fibrations over curves are uniformly K-stable in an adiabatic sense if and only if the base curves are K-stable in the log-twisted sense. Moreover, we prove that there are cscK metrics for such fibrations when the total spaces are smooth.

Keywords

K-stabilityCalabi-Yau fibrationscanonical bundle formula

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Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 24 , Issue 3 , May 2025 , pp. 961 - 1019
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© The Author(s), 2025. Published by Cambridge University Press

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