From the 1 of 5 linked papers with an AI index.
5 papers
Asymptotic expansion of induced Grassmannian Chern forms and distribution of random degeneracy sets
Turgay Bayraktar, Dan Coman, Bingxiao Liu +1
The authors obtain a complete asymptotic expansion for Chern forms induced by Grassmannian embeddings of high‑tensor‑power holomorphic sections, and use it to prove that normalized…
Nakano-Griffiths inequality, holomorphic Morse inequalities, and extension theorems for -concave domains
Bingxiao Liu, George Marinescu, Huan Wang
We consider a compact -dimensional complex manifold endowed with a holomorphic line bundle that is semi-positive everywhere and positive at least at one point. Additionally, we…
Tian's theorem for Grassmannian embeddings and degeneracy sets of random sections
Turgay Bayraktar, Dan Coman, Bingxiao Liu +1
Let be a compact Kähler manifold, be a positive line bundle, and be a Hermitian holomorphic vector bundle of rank on . We prove that the pullba…
A survey on asymptotic equilibrium distribution of zeros of random holomorphic sections
George Marinescu, Duc-Viet Vu
This is a survey of results concerning the asymptotic equilibrium distribution of zeros of random holomorphic polynomials and holomorphic sections of high powers of a positive line…
Tian's theorem for Moishezon spaces
Dan Coman, Xiaonan Ma, George Marinescu
We prove that the Fubini-Study currents associated to a sequence of singular Hermitian holomorphic line bundles on a compact normal Moishezon space distribute asymptotically as the…