Milnor numbers and the topology of polynomial hypersurfaces.
Minimal equations, global reducibility of holomorphic functions, and relative rationality of analytic sets
Minimal varieties with trivial canonical classes, I.
Mirror symmetry in dimension 3
Mixed Hodge theory for unitary local systems.
Model-theoretic consequences of a theorem of Campana and Fujiki
We give a model-theoretic interpretation of a result by Campana and Fujiki on the algebraicity of certain spaces of cycles on compact complex spaces. The model-theoretic interpretation is in the language of canonical bases, and says that if b,c are tuples in an elementary extension 𝓐* of the structure 𝓐 of compact complex manifolds, and b is the canonical base of tp(c/b), then tp(b/c) is internal to the sort (ℙ¹)*. The Zilber dichotomy in 𝓐* follows immediately (a type of U-rank 1 is locally...
Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations.
Moduli for Kodaira surfaces
Moduli of Open Holomorphic Maps of Compact Complex Manifolds.
Moduli spaces of polarized irreducible symplectic manifolds are not necessarily connected
We show that the moduli space of polarized irreducible symplectic manifolds of -type, of fixed polarization type, is not always connected. This can be derived as a consequence of Eyal Markman’s characterization of polarized parallel-transport operators of -type.
Modulprobleme in der algebraischen Geometrie III
Moisezon Spaces and Almost Positive Coherent Sheaves.
Multiplizitäten "unendlich-ferner" Spitzen.
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.