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arXiv · 2303.11559

Stochastic K\"ahler geometry: from random zeros to random metrics

Bernard Shiffman·Steve Zelditch
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Abstract

We provide a survey of results on the statistics of random sections of holomorphic line bundles on K\"ahler manifolds, with an emphasis on the resulting asymptotics when a line bundle is raised to increasing tensor powers. We conclude with a brief discussion of the `Bergman' K\"ahler metrics induced by these random sections.

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BibTeXRIS

Bernard Shiffman, Steve Zelditch. 2023-03-21. Stochastic K\"ahler geometry: from random zeros to random metrics. https://arxiv.org/abs/2303.11559

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