Results 11 to 20 of about 91,268 (87)
, 2022 We give an elementary introduction to hyperkähler manifolds, survey some of their interesting properties and some open ...
Canning, Samir +3 more
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Hyperkähler and quaternionic Kähler geometry [PDF]
, 1990 A quaternion-Hermitian manifold, of dimension at least 12, with closed fundamental 4-form is shown to be quaternionic Kähler. A similar result is proved for 8-manifolds.
Swann, Andrew F.
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, 2021 Hyperkähler varieties I A hyperkähler (HK) manifold is a compact simply connected Kähler manifold carrying a holomorphic symplectic form spanning the space of holomorphic 2 forms.
O’Grady, Kieran Gregory
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Compactness theorems on hyperkähler 4-manifolds [PDF]
, 2023 Hyperkähler manifolds are one of the simplest examples of Einstein manifolds. They are Ricci-flat Riemannian manifolds with special holonomy. In dimension 4, hyperkähler 4-manifolds can be purely described by a triple of symplectic 2-forms that satisfy ...
Liu, Hongyi
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Mini-Workshop: Singular Curves on K3 Surfaces and Hyperkähler Manifolds [PDF]
, 2015 The workshop focused on Severi varieties on $K3$ surfaces, hyperkähler manifolds and their automorphisms. The main aim was to bring researchers in deformation theory of curves and singularities together with researchers studying hyperkähler manifolds for
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Monodromy of subrepresentations and irreducibility of low degree automorphic Galois representations
Journal of the London Mathematical Society, Volume 108, Issue 6, Page 2436-2490, December 2023., 2023 Abstract Let X$X$ be a smooth, separated, geometrically connected scheme defined over a number field K$K$ and {ρλ:π1(X)→GLn(Eλ)}λ$\lbrace \rho _\lambda :\pi _1(X)\rightarrow \mathrm{GL}_n(E_\lambda )\rbrace _\lambda$ a system of semisimple λ$\lambda$‐adic representations of the étale fundamental group of X$X$ such that for each closed point x$x$ of X$X$
Chun Yin Hui
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Arithmetic and metric aspects of open de Rham spaces
Proceedings of the London Mathematical Society, Volume 127, Issue 4, Page 958-1027, October 2023., 2023 Abstract In this paper, we determine the motivic class — in particular, the weight polynomial and conjecturally the Poincaré polynomial — of the open de Rham space, defined and studied by Boalch, of certain moduli spaces of irregular meromorphic connections on the trivial rank n$n$ bundle on P1$\mathbb {P}^1$.
Tamás Hausel +2 more
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Hypertoric manifolds and hyperKähler moment maps [PDF]
, 2017 We discuss various aspects of moment map geometry in symplectic and hyperKähler geometry. In particular, we classify complete hyperKähler manifolds of dimension 4n with a tri-Hamiltonian action of a torus of dimension n, without any assumption on the ...
Andrew Swann +3 more
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Stability conditions on Kuznetsov components of Gushel–Mukai threefolds and Serre functor
Mathematische Nachrichten, Volume 296, Issue 7, Page 2975-3002, July 2023., 2023 Abstract We show that the stability conditions on the Kuznetsov component of a Gushel–Mukai threefold, constructed by Bayer, Lahoz, Macrì and Stellari, are preserved by the Serre functor, up to the action of the universal cover of GL2+(R)$\text{GL}^+_2(\operatorname{\mathbb {R}})$.
Laura Pertusi, Ethan Robinett
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Hyperkähler manifolds of Jacobian type [PDF]
, 2016 In this paper we define the notion of a hyperkähler manifold (potentially) of Jacobian type. If we view hyperkähler manifolds as “abelian varieties”, then those of Jacobian type should be viewed as “Jacobian varieties”.
Shen, M.
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