Neron-Severi group for nonalgebraic elliptic surfaces I. Elliptic bundle case.
Neron-Severi group for nonalgebraic elliptic surfaces II: non-kählerian case.
Non-continuity of the action of the modular group at Ber's boundary of Teichmuller space.
Nondeformability of the complex hyperquadric.
Nondeformability of the complex projective space.
Nondeformability of the complex projective space.
Non-Kähler compact complex manifolds associated to number fields
For algebraic number fields with real and complex embeddings and “admissible” subgroups of the multiplicative group of integer units of we construct and investigate certain -dimensional compact complex manifolds . We show among other things that such manifolds are non-Kähler but admit locally conformally Kähler metrics when . In particular we disprove a conjecture of I. Vaisman.
Normal affine surfaces properly dominated by C x C.
Numerically trivial foliations
Given a positive singular hermitian metric of a pseudoeffective line bundle on a complex Kähler manifold, a singular foliation is constructed satisfying certain analytic analogues of numerical conditions. This foliation refines Tsuji’s numerically trivial fibration and the Iitaka fibration. Using almost positive singular hermitian metrics with analytic singularities on a pseudo-effective line bundle , a foliation is constructed refining the nef fibration. If the singularities of the foliation are...