1 citations · 4 across the 8 of their papers we have counts for
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Projective embedding of degenerating family of Kähler-Einstein manifolds with normal crossing limit
Jingzhou Sun
We study the Bergman embeddings of degenerating families of Kähler-Einstein manifolds of negative curvature. We show that when the central fiber has only simple normal crossing sin…
Asymptotics of partial density function vanishing along smooth subvariety
Jingzhou Sun
We study the asymptotic of the partial density function associated to holomorphic section of a postive line bundle vanishing to high orders along a fixed smooth subvariety. Assumin…
Logarithmic Bergman kernel and Conditional expectation of Gaussian holomorphic fields
Jingzhou Sun
We prove the asymptotic of the logarithmic Bergman kernel. And as an application, we calculate the conditional expectation of density of zeros of Gaussian random sections of powers…
Critical Points of holomorphic sections of line bundles and a spherical Gauss-Lucas theorem
Jingzhou Sun
We study critical points of holomorphic sections of $\ocal(m)$ on $\CP^n$. For quadrics, we give a complete discription of their critical points. When , we prove a spherical G…
Expected Euler characteristic of excursion sets of random holomorphic sections on complex manifolds
Jingzhou Sun
We prove a formula for the expected euler characteristic of excursion sets of random sections of powers of an ample bundle , where is a Hermitian metric, over a Kähler m…