Results 61 to 70 of about 95,172 (100)
On the moduli space of cubic threefolds and of some hyperkähler manifolds
, 2017 In a famous paper Allcock, Carlson and Toledo describe the moduli space of smooth cubic threefolds as a 10-dimensional ball quotient. We show how the 10-dimensional ball quotient is also the moduli space of hyperkähler fourfolds deformation equivalent to
Sarti, Alessandra
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Plurisubharmonic functions on hypercomplex manifolds and HKT- geometry
, 2006 A hypercomplex manifold is a manifold equipped with a triple of complex structures I, J, K satisfying the quaternionic relations. We define a quaternionic analogue of plurisubharmonic functions on hypercomplex manifolds, and interpret these functions ...
Misha Verbitsky +3 more
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Hyperbolicity properties of moduli spaces of marked hyperkähler manifolds
International audienceWe study the hyperbolicity properties of moduli spaces of marked hyperkähler manifolds along directions corresponding to families having positivity properties for their Hodge bundle.
Philippe, Bastien
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Kobayashi pseudometric on hyperkähler manifold and Kobayashi’s conjecture
, 2016 The Kobayashi pseudometric on a complex manifold M is the maximal pseudometric such that any holomorphic map from the Poincare disk to M is distance-decreasing. Kobayashi has conjectured that this pseudometric vanishes on Calabi-Yau manifolds.
Kamenova, Ljudmila
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Manifolds with holonomy U∗(2m)
, 2019 We consider the geometry determined by a torsion-free affine connection whose holonomy lies in the subgroup U∗(2m) , a real form of GL(2m,C) , otherwise denoted by SL(m,H)⋅U(1) . We show in particular how examples may be generated from quaternionic
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Erratum to “Curvature of hyperkähler quotients”
Open Mathematics, 2009 Bielawski Roger
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Algebraic nonhyperbolicity of hyperkähler manifolds with picard rank greater than one
, 2017 A projective manifold is algebraically hyperbolic if the de-gree of any curve is bounded from above by its genus times a constant, which is independent from the curve. This is a property which follows from Kobayashi hyperbolicity.
Verbitskiy, Misha, Kamenova, Ljudmila
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Roundness of the ample cone and existence of double Lagrangian fibrations on hyperkähler manifolds
Let M be a hyperkähler manifold of maximal holonomy (i.e., an IHS manifold), and let K be its Kähler cone, which is an open, convex subset in the space H1,1(M,R) of real (1,1)-forms.
Misha Verbitsky, Ljudmila Kamenova
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