Connections and K Ahler Manifolds 3
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چکیده
منابع مشابه
Vanishing Theorems on Complete K Ahler Manifolds and Their Applications
Semi-positive line bundles over compact Kahler manifolds have been the focus of studies for decades. Among them, there are several straddling vanishing theorems such as the Kodaira-Nakano Vanishing Theorem, Vesentini-Gigante-Girbau Vanishing Theorems and KawamataViehweg Vanishing Theorem. As a corollary of the above mentioned vanishing theorems one can easily show that a line bundle over compa...
متن کاملCohomology of Compact Hyperkk Ahler... (applications) Cohomology of Compact Hyperkk Ahler Manifolds and Its Applications
This article contains a compression of results from V], with most proofs omitted. We prove that every two points of the connected moduli space of holomorphically symplectic manifolds can be connected with so-called \twistor lines" { pro-jective lines holomorphically embedded to the moduli space and corresponding to the hyperkk ahler structures. This has interesting implications for the geometry...
متن کاملPeriod Maps and Cohomology Cohomology of Compact Hyperkk Ahler Manifolds
Let M be a compact simply connected hy-perkk ahler (or holomorphically symplectic) manifold, dim H 2 (M) = n. Assume that M is not a product of hyperkk ahler manifolds. We prove that the Lie algebra
متن کاملSome Remarks on Quaternion-hermitian Manifolds
Nearly-quaternionic KK ahler manifolds of dimension at least 8 are shown to be quaternionic KK ahler. Restrictions on the covariant derivative of the fundamental four-form of a semi-quaternionic KK ahler are also found.
متن کاملMirror Conjecture Mirror Symmetry for Hyperkk Ahler Manifolds
We prove the Mirror Conjecture for Calabi-Yau manifolds equipped with a holomorphic symplectic form. Such man-ifolda are also known as complex manifolds of hyperkk ahler type. We obtain that a complex manifold of hyperkk ahler type is Mirror dual to itself. The Mirror Conjecture is stated (following Kontsevich, ICM talk) as the equivalence of certain algebraic structures related to variations o...
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تاریخ انتشار 1999