A balanced proper modification of P3.
A Characterization of Complex Manifolds Biholomorphic to a Circular Domain.
A Class of Compact Complex Manifolds with Negative Tangent Bundles.
A collar neighborhood theorem for a complex manifold
A Direct Extension Method for CR Structures.
A Duality Theorem for Complex Manifolds.
A Generalization of Kodaira's Embedding Theorem.
A Geometric Algebraicity Property for Moduli Spaces of Compact Kähler Manifolds with h 2, 0 = 1.
A Grothendieck-Riemann-Roch Formula for Maps of Complex Manifolds.
A remark on runge approximation of meromorphic functions
Affine Structures on Compact Complex Manifolds.
Algebraic geometry and local differential geometry
Amenable coverings of complex manifolds and holomorphic probalitiy measures.
An intrinsic characterization of Kähler manifolds.
An ℓ-th root of a test configuration of exponent ℓ
Let (X, L) be a polarized algebraic manifold. Then for every test configuration μ = (X, L,Ψ) for (X, L) of exponent ℓ, we obtain an ℓ-th root (κ, D) of μ and Gm-equivariant desingularizations ι : X → X and η : X → Y, both isomorphic onX X̂ 0, such that [...] whereκ= (Y, Q, η) is a test configuration for (X, L) of exponent 1, and D is an effective Q-divisor onX such that ℓD is an integral divisor with support in the fiber X0. Then (κ, D) can be chosen in such a way that [...] where C1 and C2 are...
An Obstruction to the Existence of Einstein Kähler Metrics.
Analytic inversion of adjunction: extension theorems with gain
We establish new results on weighted -extension of holomorphic top forms with values in a holomorphic line bundle, from a smooth hypersurface cut out by a holomorphic function. The weights we use are determined by certain functions that we call denominators. We give a collection of examples of these denominators related to the divisor defined by the submanifold.
Anti-self-dual Hermitian metrics on blown-up Hopf surfaces.