Results 11 to 20 of about 95,172 (100)
Derived Categories of Hyper-Kähler Manifolds via the LLV Algebra. [PDF]
Milan J Math, 2022 We mostly review work of Taelman (Derived equivalences of hyperkähler varieties, 2019, arXiv:1906.08081) on derived categories of hyper-Kähler manifolds.
Beckmann T.
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, 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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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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, 2020 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 +1 more
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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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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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Automorphisms on algebraic varieties: K3 surfaces, hyperkähler manifolds, and applications on Ulrich bundles [PDF]
, 2022 One of the main tools to study the geometry of complex algebraic varieties is the group of automorphisms. The first part of this thesis concerns the study of symplectic automorphisms of finite order on K3 surfaces, and birational symplectic maps of ...
Prieto Montañez, Yulieth Katterin <1993>
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Hypertoric manifolds and hyperKähler moment maps [PDF]
, 2016 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, Andrew Dancer
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