Hao Wu

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20242026

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math.CV2026

Growth rate of balls of holomorphic sections on compact Riemann surfaces

Hao Wu

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.…

math.CV2024

Hole event for random holomorphic sections on compact Riemann surfaces

Tien-Cuong Dinh, Subhroshekhar Ghosh, Hao Wu

Let $X$ be a compact Riemann surface and $L$ be a positive line bundle on it. We study the conditional zero expectation of all the holomorphic sections of $L^{n}$ w…