K-instability of hyperplane sections of Segre varieties

We prove that a normal hyperplane section of the Segre variety [Formula: see text] is K-unstable with respect to any polarization if [Formula: see text] or it is not smooth.

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Publication Details

Journal
International Journal of Mathematics
Published
2025-05-23
DOI
https://doi.org/10.1142/s0129167x25500338
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
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0.00
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article

K-instability of hyperplane sections of Segre varieties

Shunsuke Saito
International Journal of Mathematics
Advanced Differential Equations and Dynamical Systems
article

K-instability of hyperplane sections of Segre varieties

Shunsuke Saito
article en

Abstract

We prove that a normal hyperplane section of the Segre variety [Formula: see text] is K-unstable with respect to any polarization if [Formula: see text] or it is not smooth.

International Journal of MathematicsVol. 36(10)
Tokyo University of Science (JP)
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Advanced Differential Equations and Dynamical Systems
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K-instability of hyperplane sections of Segre varieties — Shunsuke Saito · International Journal of Mathematics (2025) | TGRS Research Map | TGRS