26 citations · 115 across the 33 of their papers we have counts for
34 papers
Asymptotic expansion of induced Grassmannian Chern forms and distribution of random degeneracy sets
Turgay Bayraktar, Dan Coman, Bingxiao Liu +1
For the Grassmannian embeddings defined by the spaces , where is a positive line bundle and is a holomorphic vector bundle over a compact complex manif…
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 pullback…
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…
Zeros of random holomorphic sections of big line bundles with continuous metrics
Turgay Bayraktar, Dan Coman, George Marinescu +1
Let be a compact normal complex space, be a big holomorphic line bundle on and be a continuous Hermitian metric on . We consider the spaces of holomorphic sectio…
Restricted spaces of holomorphic sections vanishing along subvarieties
Dan Coman, George Marinescu, Viêt-Anh Nguyên
Let be a compact normal complex space of dimension and be a holomorphic line bundle on . Suppose that is an -tuple of distinct irreduci…
Singular holomorphic Morse inequalities on non-compact manifolds
Dan Coman, George Marinescu, Huan Wang
We study asymptotic estimates of the dimension of cohomology on possibly non-compact complex manifolds for line bundles endowed with Hermitian metrics with algebraic singularities.…