Regularity of the equilibrium measure for meromorphic correspondences

Tien-Cuong Dinh; Hao Wu

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arXiv · 2301.12786

Regularity of the equilibrium measure for meromorphic correspondences

Tien-Cuong Dinh·Hao Wu

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Abstract

Let $f$ be a meromorphic correspondence on a compact K\"ahler manifold $X$ of dimension $k$. Assume that its topological degree is larger than the dynamical degree of order $k-1$. We obtain a quantitative regularity of the equilibrium measure of $f$ in terms of its super-potentials.

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Tien-Cuong Dinh, Hao Wu. 2023-01-30. Regularity of the equilibrium measure for meromorphic correspondences. https://arxiv.org/abs/2301.12786

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