Expected Euler characteristic of excursion sets of random holomorphic sections on complex manifolds

DOI10.1512/IUMJ.2012.61.4672zbMath1271.32031arXiv1103.4598OpenAlexW2963482028MaRDI QIDQ2841852

Jingzhou Sun

Publication date: 30 July 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.4598

zbMATH Keywords

critical radius of the Kodaira embeddingexcursion sets of random sectionsexpected Euler characteristic

Mathematics Subject Classification ID

Complex manifolds (32Q99)

Related Items (4)

Critical points of holomorphic sections of line bundles and a spherical Gauss-Lucas theorem ⋮ Logarithmic Bergman kernel and conditional expectation of Gaussian holomorphic fields ⋮ Mean of zero currents of sections of vector bundles ⋮ Asymptotic expansion of the off-diagonal Bergman kernel on compact Kähler manifolds

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