chern forms 1degeneracy loci 1grassmannian embeddings 1kahler manifolds 1random sections 1wishart distribution 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.CV2026
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…
math.CV2025
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…
math.CV2025
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…