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arXiv · 2606.12878

Curvature on some Kähler toric manifolds

Xingluan Wang
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Abstract

We use the Guillemin--Abreu formalism to give a unified treatment of Kähler metrics with positive holomorphic bisectional curvature on $\mathbb C^n$ and positive holomorphic sectional curvature on $\mathcal O(-\ell)$ and the Hirzebruch manifolds $M_{n,\ell}$.

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Xingluan Wang. 2026-07-14. Curvature on some Kähler toric manifolds. https://arxiv.org/abs/2606.12878

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