Generalized Intermediate Jacobians and the Theorem on Normal Functions.
Geometric algebraicity of moduli spaces of compact Kähler symplectic manifolds.
Geometric stability of the cotangent bundle and the universal cover of a projective manifold
We first prove a strengthening of Miyaoka’s generic semi-positivity theorem: the quotients of the tensor powers of the cotangent bundle of a non-uniruled complex projective manifold have a pseudo-effective (instead of generically nef) determinant. A first consequence is that is of general type if its cotangent bundle contains a subsheaf with ‘big’ determinant. Among other applications, we deduce that if the universal cover of is not covered by compact positive-dimensional analytic subsets,...
Geometrical properties of a family of compactifications.
Global smoothing of Calabi-Yau threefolds.
Globally invertible differentiable or holomorphic maps
Graph theoretic techniques in algebraic geometry II: construction of singular complex surfaces of the rational cohomology type of CP2.