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arXiv · 2609.15593

Upper bounds of the Laplace spectrum on compact Kähler manifolds

Yuan Yuan
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Abstract

On a connected compact Kähler manifold without boundary, we derive a uniform upper bound for each Laplace eigenvalue over all Kähler metrics in a given Kähler class. This provides an affirmative answer to a question of Yau.

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Yuan Yuan. 2026-09-14. Upper bounds of the Laplace spectrum on compact Kähler manifolds. https://arxiv.org/abs/2609.15593

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