A new six-dimensional irreducible symplectic variety
نویسندگان
چکیده
منابع مشابه
A Six Dimensional Compact Symplectic Solvmanifold without Kahler Structures
Gordon and Benson have proved that if a compact nilmanifold admits a Kahler structure then it is a torus [5] more precisely they proved that the condition (iv) fails for any symplectic structure on a non-toral nilmanifold M. This result was independently proved by Hasegawa [12] by showing that (v) fails for M. For a compact solvmanifold M of dimension 4 it is known that M has a Kahler structure...
متن کاملModuli spaces of irreducible symplectic manifolds
We study the moduli spaces of polarised irreducible symplectic manifolds. By a comparison with locally symmetric varieties of orthogonal type of dimension 20, we show that the moduli space of polarised deformation K3 manifolds with polarisation of degree 2d and split type is of general type if d ≥ 12. MSC 2000: 14J15, 14J35, 32J27, 11E25, 11F55
متن کاملOn fibre space structures of a projective irreducible symplectic manifold
In this note, we investigate fibre space structures of a projective irreducible symplectic manifold. We prove that an 2n-dimensional projective irreducible symplectic manifold admits only an n-dimensional fibration over a Fano variety which has only Q-factorial log-terminal singularities and whose Picard number is one. Moreover we prove that a general fibre is an abelian variety up to finite un...
متن کاملA Characterization of Certain Irreducible Symplectic 4-folds
We give a characterization of irreducible symplectic fourfolds which are given as Hilbert scheme of points on a K3 surface.
متن کاملOn Monodromies of a Degeneration of Irreducible Symplectic Kähler Manifolds
We study the monodromy operators on the Betti cohomologies associated to a good degeneration of irreducible symplectic manifold and we show that the unipotency of the monodromy operator on the middle cohomology is at least the half of the dimension. This implies that the “mildest” singular fiber of a good degeneration with non-trivial monodromy of irreducible symplectic manifolds is quite diffe...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebraic Geometry
سال: 2003
ISSN: 1056-3911,1534-7486
DOI: 10.1090/s1056-3911-03-00323-0