Results 61 to 70 of about 91,268 (87)
Algebraic nonhyperbolicity of hyperkähler manifolds with picard rank greater than one
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
core
Subgroup separability, knot groups, and graph manifolds
This paper answers a question of Burns, Karrass and Solitar by giving examples of knot and link groups which are not subgroup-separable. For instance, it is shown that the fundamental group of the square knot complement is not subgroup separable.
Wise, Daniel T. +3 more
core
Subgroup separability, knot groups, and graph manifolds
This paper answers a question of Burns, Karrass and Solitar by giving examples of knot and link groups which are not subgroup-separable. For instance, it is shown that the fundamental group of the square knot complement is not subgroup separable.
Wise, Daniel T., Niblo, Graham A.
core
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
core +1 more source
International audienceThe aim of these notes is to acquaint the reader with important objects in complex algebraic geometry: K3 surfaces and their higher-dimensional analogs, hyperk\"ahler manifolds. These manifolds are interesting from several points of
Debarre, Olivier
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Unstable minimal spheres with degree-1 Gauss lift in hyperkähler 4-manifolds
We exhibit new minimal 2-spheres in hyperkähler 4-manifolds arising from the Gibbons--Hawking ansatz and in the K3 manifold endowed with a hyperkähler metric.
Trinca, Federico, Foscolo, Lorenzo
core
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Weak Sharp Minima on Riemannian Manifolds
SIAM Journal on Optimization, 2011Jen-Chih Yao +2 more
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