Bingxiao Liu

activity

20232026

collaborators

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2 papers · 1 filter

math.CV2025

Nakano-Griffiths inequality, holomorphic Morse inequalities, and extension theorems for $q$ -concave domains

Bingxiao Liu, George Marinescu, Huan Wang

We establish a general Nakano-Griffiths inequality with boundary conditions and apply it to derive holomorphic Morse inequalities for domains satisfying analytic convexity assumpti…

math.CV2025

Tian's theorem for Grassmannian embeddings and degeneracy sets of random sections

Turgay Bayraktar, Dan Coman, Bingxiao Liu +1

Let $(X, ω)$ be a compact Kähler manifold, $(L, h^{L})$ be a positive line bundle, and $(E, h^{E})$ be a Hermitian holomorphic vector bundle of rank $r$ on $X$ . We prove that the pullback…

Nakano-Griffiths inequality, holomorphic Morse inequalities, and extension theorems for q-concave domains

Tian's theorem for Grassmannian embeddings and degeneracy sets of random sections

Nakano-Griffiths inequality, holomorphic Morse inequalities, and extension theorems for $q$ -concave domains