On the Brody hyperbolicity of moduli spaces for canonically polarized manifolds
نویسندگان
چکیده
منابع مشابه
Moduli spaces of toric manifolds
We construct a distance on the moduli space of symplectic toric manifolds of dimension four. Then we study some basic topological properties of this space, in particular, connectedness, compactness and completeness. The construction of the distance is related to the DuistermaatHeckman measure and the Hausdorff metric. While the moduli space, its topology and metric, may be constructed in any di...
متن کاملPositivity of Relative Canonical Bundles for Families of Canonically Polarized Manifolds
Given an effectively parameterized family of canonically polarized manifolds the Kähler-Einstein metrics on the fibers induce a hermitian metric on the relative canonical bundle. We use a global elliptic equation to show that this metric is strictly positive. For degenerating families we obtain a singular hermitian metric. Applications concern the curvature of the classical and generalized Weil...
متن کاملA Duality for Yang-Mills Moduli Spaces on Noncommutative Manifolds
Studied are the moduli spaces of Yang-Mills connections on finitely generated projective modules associated with noncommutative flows. It is actually shown that they are homeomorphic to those on dual modules associated with dual noncommutative flows. Moreover the method is also applicable to the case of noncommutative multi-flows. As an important application, computed are the the moduli spaces ...
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 کاملPositivity of Relative Canonical Bundles of Families of Canonically Polarized Manifolds
The Kähler-Einstein metrics on the fibers of an effectively parameterized family of canonically polarized manifolds induce a hermitian metric on the relative canonical bundle. We use a global elliptic equation to show that this metric is strictly positive. Applications concern the curvature of the classical and generalized Weil-Petersson metrics and hyperbolicity of moduli spaces.
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: Duke Mathematical Journal
سال: 2003
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-03-11815-3