Results 1 to 10 of about 305 (88)
Terminalizations of quotients of compact hyperkähler manifolds by induced symplectic automorphisms [PDF]
Épijournal de Géométrie AlgébriqueTerminalizations of symplectic quotients are sources of new deformation types of irreducible symplectic varieties. We classify all terminalizations of quotients of Hilbert schemes of K3 surfaces or of generalized Kummer varieties, by finite groups of ...
Valeria Bertini +3 more
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Stratification of singular hyperkähler quotients
Complex Manifolds, 2022 Hyperkähler quotients by non-free actions are typically singular, but are nevertheless partitioned into smooth hyperkähler manifolds. We show that these partitions are topological stratifications, in a strong sense.
Mayrand Maxence
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On Degenerate 3-(α, δ)-Sasakian Manifolds
Complex Manifolds, 2022 We propose a new method to construct degenerate 3-(α, δ)-Sasakian manifolds as fiber products of Boothby-Wang bundles over hyperkähler manifolds. Subsequently, we study homogeneous degenerate 3-(α, δ)-Sasakian manifolds and prove that no non-trivial ...
Goertsches Oliver +2 more
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P = W for Lagrangian fibrations and degenerations of hyper-Kähler manifolds
Forum of Mathematics, Sigma, 2021 We identify the perverse filtration of a Lagrangian fibration with the monodromy weight filtration of a maximally unipotent degeneration of compact hyper-Kähler manifolds.
Andrew Harder +3 more
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Transverse Kähler holonomy in Sasaki Geometry and S-Stability
Complex Manifolds, 2021 We study the transverse Kähler holonomy groups on Sasaki manifolds (M, S) and their stability properties under transverse holomorphic deformations of the characteristic foliation by the Reeb vector field. In particular, we prove that when the first Betti
Boyer Charles P. +2 more
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Hyperkähler isometries of K3 surfaces
Journal of High Energy Physics, 2020 We consider symmetries of K3 manifolds. Holomorphic symplectic automorphisms of K3 surfaces have been classified, and observed to be subgroups of the Mathieu group M 23.
Anindya Banerjee, Gregory W. Moore
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All (4,0): Sigma models with (4,0) off-shell supersymmetry
Journal of High Energy Physics, 2017 Off-shell (4, 0) supermultiplets in 2-dimensions are formulated. These are used to construct sigma models whose target spaces are vector bundles over manifolds that are hyperkähler with torsion.
Chris Hull, Ulf Lindström
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Non-toric cones and Chern-Simons quivers
Journal of High Energy Physics, 2017 We obtain an integral formula for the volume of non-toric tri-Sasaki Einstein manifolds arising from nonabelian hyperkähler quotients. The derivation is based on equivariant localization and generalizes existing formulas for Abelian quotients, which lead
P. Marcos Crichigno, Dharmesh Jain
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On numerically trivial automorphisms of compact hyperkähler manifolds of dimension 4 [PDF]
, 2023 Chen Jiang, Wenfei Liu
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Fully non-linear elliptic equations on compact hyperhermitian manifolds with a flat hyperkähler metric [PDF]
, 2021 Giovanni Gentili
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