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arXiv · 2604.12333

Growth rate of balls of holomorphic sections on compact Riemann surfaces

Hao Wu
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Abstract

Let $X$ be a compact Riemann surface and let $L$ be a positive line bundle on $X$. We obtain the growth speed of unit ball volume in $H^0(X,L^n)$ towards the energy at equilibrium. As an application, we also obtain the speed of Fekete measures converging to the equilibrium measure.

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Hao Wu. 2026-04-14. Growth rate of balls of holomorphic sections on compact Riemann surfaces. https://arxiv.org/abs/2604.12333

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